Going for a complete collection is a hard thing to do, and there are different variables. Do you want only U.S games? All the games complete, or loose? Do you only want original versions, or are platinum/greatest hit games alright? Personally, I am going for a playstation collection. I would like all complete, and I don't mind greatest hits! What are you going for??

I'm not trying to get a complete collection for anything really. But if I do see a CiB NES/SNES/N64, etc. Than I would snatch it up.
But if it's about Genesis and Disc based games, I would want them complete(case& book).
I don't mind Greatest hits editions.

My ambition is to finish off my US Saturn collection, and one day I want to make inroads into finishing my US original Xbox collection. That's not going to be for a very long time, given the sheer number of games in the Xbox library, but it's something to work towards. The Saturn collection has really been slowing down lately, though, since I'm reaching the point at which the games remaining are on the more expensive end, and it's just not financially feasible to go out and get them. They're extremely hard to find in the wild, so it's probably going to be a slow process, but I will complete my Saturn collection!