I don't get how one can have so many games, yet finish a fraction of them. I have a decent number of games that I actually own, perhaps 100 or so including ones I still have from older systems. It'd be easier to count all the games I haven't finished, which is probably in the single digits, assuming we're counting just the games I own. PS+ games that I intend to play actually make up for probably half of my backlog at the moment.
I have 50+ titles spread across 3 gen 7 consoles. The majority of which on my PS3.I have played and finished a dozen of them. The number would be higher if I had to play the games I own. But I don't. I found 2 great sources of free games 10 minutes from where I live. So I am going to plow through those games before I attack my collection. I finish every game I buy, just not in a timely manner.
I have not finished all the games I own yet, but I will. I play several games simultaneously and take my time with them, so I'm always behind and there's always a purchased backlog. But I can't stand not having finished a game I've paid for, so I make sure I'll finish them. Luckily none of my close friends play videogames, so there's noone I have to keep up or compete with.
Own about 50-60 wii games, have beat about 2/3 of those and am working on beating the others one by one. Have about 10ish vita games and have beat one and am working on others before I buy anything else. I traditionally don't buy more games unless I beat the ones I have
I think I own around 500 games at this point. As for finished, I guess maybe two thirds of them. Modern games I can beat pretty easily unless I lose interest, but older games take time to get good at, so I have a lot more of those on my back burner.