I'm more of the "I get what I like!" sort of collector myself (which can go for all of the video game systems I have), which I only want to have the titles that are interesting to me, and have no intention on collecting every title for the system (since it would be a bit of a pain to do for me, anyway).
I'm also the "I'll have what you're willing to give to me" type, as well. This can be the case of recieving the games and system SuperPCEngineGrafx and TurboStar sent to me. If it's an object that I would like to have, then I would take it, and I do my best to make sure the items stay in good condition.