Achevee is the easiest one, the longest thing to do would be to drive a bunch of miles, you can do a race with a bunch of laps in any track.

Lugna requires you to pass 85 laps on any track. The shortest one is Container Crossing so it's best to play on that one. The Career event you unlock claims you have to wreck 5 opponents, but thankfully this is not the case. I think you only need to wreck one or two but I got it with getting well under five.

Indlovu is brutal. You have to wreck 25 cars. TWENTY FIVE! From my experience, the best track to do this on is Corredor Del Diablo, it's where the most collisions happen, but you have to be careful as to not let the opponents wreck each other before you can get to them.