Note: This seems to only work in the English version. In the German, French and presumably other versions, the subtitles show your chosen name, but Codsworth will not say it.
Every Insult got censored so Steam wont censor it. These words have a _ after the first letter. So, If you want to find Names like these search for _ in the list.

Aaliyah
Aaron
Abby
Abigail
Abram
Abrams
Adalyn
Adam
Adams
Addison
Adeline
Adrian
Ahn
Aideen
Aiden
Akira
Al
Alaina
Alan
Alana
Alex
Alexander
Alexandra
Alexis
Ali
Alice
Alicia
Alison
Allen
Allison
Ally
Altman
Alyssa
Amanda
Amaria
Amber
Amelia
Amir
Ana
Andersen
Anderson
Andonov
Andrew
Andy
Angel
Angela
Ann
Anna
Annabelle
Anne
Annie
Anthony
Apollo
Aquarius
Archer
Ares
Aria
Arianna
Aries
Arnie
Arnold
Artemis
Arya
Ash
Asher
Ashford
Ashley
Asimov
A_ssface
Atkins
Atkinson
Atom
Atomic
Atticus
Aubrey
Audrey
Aurora
Austin
Autumn
Ava
Avery
Aziz
Bacon
Badass
Bailey
Baker
Banner
Bannerman
Bannion
Bar*B
Bar*Bara
Barnes
Baron
Barron
Barry
Bart
Bartholomew
Bash
B_astard
Battosai
Batty
Baudoin
Beatrice
Beatrix
Becky
Bell
Bella
Ben
Benjamin
Bennell
Bennett
Bentley
Bernie
Bernstein
Berry
Bert
Bery
Beth
Bethany
Betsy
Betty
Biff
Bill
Billie
Billy
Bilodeau
Bishop
Black
Blaise
Blake
Blaze
Bo
Bob
Bobbi
Bobbie
Bobby
Bond
Bond
Boob
Boobie
Boobies
Boom
Boris
Bort
Boston
Bowman
Brad
Bradley
Brandon
Braun
Brayden
Brendan
Brenna
Bria
Brian
Brianna
Brick
Brienne
Brigner
Brock
Brody
Brooklyn
Brooks
Browder
Brown
Browne
Bruce
Bruckheimer
Bryan
Bryant
Buffy
Buki
Bulger
Bull
Burgess
Burke
Burt
Burton
Butch
Butler
Caitlin
Cancer
Candace
Candy
Capricorn
Caragan
Cara
Carla
Carlos
Carlo
Carly
Carl
Carol
Carrie
Celtic
Celty
Celt
Cena
Cenk
Chad
Cheryl
Che
Childs
Christa
Chrystal
Chrysta
Chuck
Chunk
Chun
Cincaid
Cindy
Cisco
Clifford
Cliff
Clint
Cody
Colleen
Coronet
Creed
Crowne
Crown
Crystal
Caden
Cal
Caleb
Cllie
Camden
Camilla
Campbell
Capable
Captain
Carey
Carnow
Carofano
Caroline
Carson
Carter
Carver
Casserly
Castle
Catherine
Cha
Chapin
Chappy
Charles
Charley
Charlie
Charlotte
Chase
Cheng
Cherise
Cherry
Cherrybomb
Chloe
Chopper
Chris
Christian
Christiane
Christopher
Church
Claire
Clara
Clark
Clarke
Claw
Clemens
Clunk
Cobb
Cobra
C_ock
Cockerham
Cole
Colin
Collins
Colton
Conall
Connor
Cook
Cooke
Cooper
Corey
Cormac
Corman
Cornelius
Cornett
Corri
Corrie
Corrine
Corvo
Corwin
Cory
Cosgrove
Courtenay
Cox
Coyle
Craig
Crash
Cruz
Cullen
Cummings
Curt
Dag
Damien
Dan
Dane
Danger
Daniel
Daniels
Danny
Darrel
Darren
Darryl
Daryl
Dave
David
Davis
Dawson
Deag
Death
Deb
Debb
Debbie
Deborah
Debra
Deckard
Declan
Deitrick
Dell
Denis
Dennis
Denton
Deschain
Deth
Diana
Diane
DiAngelo
Dianne
Diaz
D_ick
DiMaggio
Dinolt
DJ
D.J.
Django
Dom
Domics
Dominguez
Dominic
Don
Donald
Dong
DongJun
Donnie
Donny
Doug
Douglas
Dragon
Draper
Dulany
Dutch
Duval
Duvall
Dylan
Dale
Dallas
Damian
Danielle
Daphne
Davy
Dodger
Dodge
Dora
Dorian
Drake
Dustin
Eagle
East
Ebony
Ed
Eddie
Eddy
Edie
Edrica
Edwards
Elaine
Eleanor
Elektra
Elena
Eli
Eliana
Elias
Elijah
Elisabeth
Elizabeth
Ella
Ellie
Elliot
Elliott
Emil
Emile
Emily
Emma
Erectus
Eric
Erik
Erin
Ernest
Ernie
Ethan
Eugene
Eva
Evan
Evans
Evelyn
Everdeen
Everett
Ezra
Fatima
Felicity
Felipe
Ferret
Fifi
Finn
Finster
Fiona
Fisher
Fist
Flag
Flagg
Flash
Flores
Flynn
Foster
Fox
Fragile
Fran
Francis
Franke
Frannie
Freeman
Frost
Fry
F_uck
F_ucker
F_uckface
Furiosa
Fury
Gabriel
Gabriella
Gabrielle
Gail
Garcia
Gardiner
Garrett
Gary
Gavin
Gemini
Gene
Geoffrey
George
Georgia
Gerry
Gerry
Gertie
Gertrude
Gia
Gianna
Gil
Gina
Glen
Glyn
Gomez
Gonzalez
Goose
Gordon
Graber
Grace
Grant
Gravato
Gray
Grayson
Greco
Green
Greene
Grey
Griffin
Grognak
Gryphon
Gutierrez
Guy
Hackman
Hailey
Hal
Hall
Ham
Hamilton
Hamm
Hammer
Hammett
Hamrick
Han
Hannah
Hans
Harden
Hardi
Harley
Harmony
Harold
Harper
Harris
Harrison
Harry
Harvey
Haschart
Hasenbuhler
Hastings
Hawk
Hawke
Hazel
Heisenberg
Helen
Hellcat
Henning
Henry
Herbert
Hero
Hicks
Hill
Hines
Hiro
Holly
Holmes
Hook
Hope
Hopgood
Houle
Howard
Hudson
Hugh
Hughes
Hugo
Humongous
Humphrey
Humungus
Hux
Hyun
Ian
Ilene
Ilya
Imperator
Inara
Indiana
Indy
Irena
Irene
Isaac
Isabella
Isabelle
Isaiah
Ist
Istvan
Ivan
Izaya
Izzie
J.P.
Jack
Jackie
Jackson
Jackula
Jacob
Jade
Jag
Jake
James
Jamie
Jan
Jana
Jane
Janet
Jangjoon
Jasmine
Jason
Jay
Jayce
Jayden
Jeff
Jeffery
Jen
Jenette
Jenkins
Jenna
Jennifer
Jens
Jeremiah
Jeremy
Jerusalem
Jess
Jessica
Jessie
Jet
Jewel
Jim
Jimmy
Jo
Joan
Joanna
Joanne
Jocelyn
Jody
Joe
Joel
Joey
Joffrey
John
Johnny
Johnson
Joker
Jon
Jonathan
Jones
JonPaul
Jordan
Jordyn
Joseph
Josh
Joshua
Josiah
Josie
Joury
JP
Juan
Julia
Julian
Juliana
Justin
Kaela
Kaelyn
Kai
Kaitlyn
Kal
KalEl
Kal-El
Kamala
Kaneda
Kara
Karen
Karla
Kate
Katharine
Katherine
Katniss
Kauffman
Kayla
Kaylee
Keira
Keith
Kelley
Kelly
Kelvin
Ken
Kennedy
Kenshin
Kevin
Khan
Kiddo
Kieran
Kim
Kimberly
Kincaid
King
Kirk
Knight
Korben
Korozona
Krietz
Kuhlmann
Kurt
Kye
Kyle
Kylie
Lafferty
Laila
Lamb
Lance
Landon
Lane
Langland
Langlois
Lara
Laura
Lauren
Laurie
Layla
Lea
Leah
Lederer
Lee
Leeloo
Leia
Leo
Leon
León
Les
Leslie
Levi
Lewis
Li
Liam
Lian
Libra
Liesegang
Lila
Liliana
Lilith
Lillian
Lily
Lincoln
Linda
Lindberg
Lionheart
Lipari
Lisa
Lister
Liz
Logan
Lois
London
Loner
Long
Lopez
Lori
Losi
Louisa
Louise
Lucas
Luce
Lucy
Luke
Lundin
Lupe
Lynda
Lynn
Maam
MacKay
Mackenzie
Macklin
Maddy
Madeleine
Madelyn
Madison
Makayla
Mal
Malak
Malcolm
Malina
Mamba
Mandy
Marc
Marco
Marcus
Marcy
Marge
Margie
Maria
Mariam
Marie
Marji
Marjorie
Mark
Markiepoo
Marko
Markus
Marlowe
Marsden
Martha
Martin
Martinez
Marty
Mary
Mason
Mat
Mateo
Mathias
Matt
Matthew
Matty
Max
Maya
Mayar
McCoy
McDyer
McFly
McKay
McPherson
Meagan
Means
Megan
Meister
Mejillones
Mia
Micah
Michael
Michelle
Michonne
Miguel
Mika
Mikami
Mike
Mila
Miles
Miller
Mitchell
Mohammed
Moira
Molly
Monster
Montana
Moonves
Moore
Morales
Morgan
Morgue
Morpheus
Morris
Morticia
Morty
Muck
Mudguts
Muhammad
Mulder
Muldoon
Murphy
Myers
Nada
Nadia
Nancy
Nanes
Naomi
Nardone
Nasty
Natalia
Natalie
Natasha
Nate
Nathan
Nathaniel
Nazarov
Neary
Ned
Nelson
Neo
Nesmith
Neville
Nguyen
Nicholas
Nick
Nico
Nicola
Nipple
Noah
Noel
Nogueira
Nolan
Noonan
Noqueira
Nora
Norm
Norma
Norman
North
Northup
Nour
Nourmohammadi
Nova
Nuclear
Nuke

Offutt
Olds
Oliver
Olivia
Ollie
Olsen
Olson
Optical
O_rgasmo
Orin
Oscar
Oswald
Ortiz
Owen
Owens
Pagliarulo
Paisley
Palmer
Pam
Pamela
Paris
Parker
Parson
Pat
Patrick
Patsy
Patty
Paul
Peg
Peggy
Pely
Pendleton
Penelope
Penny
Perez
Perry
Pete
Peter
Peterson
Peyton
Phasma
Phil
Philip
Phillips
Picard
Pisces
Plissken
Poe
Powell
Preacher
Price
Priest
Prince
Princess
Psycho
Puma
Purkeypile
Python
Qin
Quartermain
Quatermass
Queen
Quill
Quinn
Rabil
Rachel
Raf
Rafael
Rahima
Ramirez
Ramon
Ramona
Ramsey
Randal
Randall
Randolph
Randy
Rankin
Rapp
Raven
Ray
Raymond
Reagan
Rebecca
Red
Reed
Reese
Reische
Rex
Reyes
Reynolds
Rhianna
Rhiannon
Rhonda
Ricardo
Richard
Richards
Richardson
Rick
Rick
Ricky
Rictus
Riddick
Riley
Ripken
Ripley
River
Rivera
Rob
Robb
Robbie
Robert
Roberts
Robin
Robinson
Rock
Rockatansky
Rocky
Rodriguez
Rodriquez
Roger
Rogers
Roland
Romanov
Romanova
Romero
Ron
Ronald
Ronny
Rook
Rosa
Rosalie
Rose
Roselliny
Rosetta
Rosie
Ross
Roxie
Roy
Ruby
Russell
Ryan
Sabeel
Sabrina
Sadie
Sage
Sagittarius
Sal
Salinee
Sally
Salma
Salvatore
Sam
Samantha
Sammie
Sammy
Samuel
Sanchez
Sánchez
Sanders
Sandman
Sandra
Sandy
Sanjuro
Sara
Sarah
Sarse
Savannah
Sawyer
Scarlett
Schaefer
Scharf
Schram
Schreiber
Scorpio
Scorpion
Scott
Scout
Scully
Seamus
Sean
Sears
Sebastian
Selena
Seljenes
Serena
Serenity
Seth
Sex
Sexy
Shana
Shane
Shannon
Sheila
Sheiman
Shelly
Shen
Sherlock
Shinji
Shrike
Sidney
Simon
Singer
Sir
Skyler
Slaughter
Slinger
Slit
Smirnova
Smith
Snake
Snow
Solo
Solomon
Song
Sonja
Sophia
Sophie
South
Southie
Spade
Spider
Spike
Splendid
Spring
Springsteen
Stanley
Starbuck
Stark
Stef
Stella
Steph
Stephanie
Stephen
Sterling
Steve
Steven
Steward
Stewart
Stone
Struthers
Stuart
Sullivan
Summer
Sunshine
Sweetpea
Sydney
Talia
Tallahassee
Tanya
Tara
Taurus
Taylor
Teare
Ted
Teddy
Tegan
Teitel
Tesla
Tetsuo
Tex
Texas
Thom
Thomas
Thompson
Thorn
Thorne
Tiana
Tim
Timmy
Timothy
Tina
Tiny
T_it
T_ittie
T_itties
Toadie
Toast
Todd
Toecutter
Tom
Tommy
Tonon
Tony
Torres
Tracey
Tracy
Treadway
Tresnjak
Trinity
Trish
Trisha
Tristan
Troy
Tuck
Turner
Tyler
Unbreakable
Utting
Val
Valenti
Valentina
Valerie
Valkyrie
Vanessa
Vargas
Vash
Vasquez
Vega
Venkman
Vero
Veronica
Veronique
Vic
Vicens
Victor
Victoria
Vin
Vincent
Vinny
Violet
Vionca
Vionica
Virgil
Virgo
Viv
Vivi
Vivian
Vlad
Vladimir
Wagner
Walker
Walter
Walton
Wanderer
Ward
Washington
Watney
Watson
Watts
Wayne
Webb
Wells
Wendy
Wes
West
Weyland
Wez
White
Whitey
Wigglesworth
Wikus
Will
William
Williams
Willow
Willy
Wilson
Windy
Winifred
Winnie
Winter
Wisnewski
Wood
Woodward
Wright
Wyatt
Xavier
Yan
Yojimbo
Yorick
Young
Yutani
Zach
Zachary
Zdana
Zed
Zenith
Zetta
Ziggy
Zip
Zoe