Dead Rising 3

Just naturally playing through even Ingleton, you should earn 10,000 Zinny. This, with no other prerequisites needed will allow you to buy any of the characters first costumes.
The achievement popped for me once I began playing the next level, so don't panic if it doesn't pop immediately on purchase.

For anyone confused (like me) about popping this achievement. you buy the costumes at the character select screen.

Use the left stick to select the costume you want and "cheers".

Highlighting locked costumes shows the unlock requirements (i.e. for Frank's "B.B. Hood costume you need 15,000 zenny, Kill 5,000 zombies, find the Darkstalker arcade cabinet, and unlock the "Servbot Frank" costume.)