Nothing of note really. I am now far less forgiving of RPGs that do not have easy and common ways to save, but it hasn't colored my opinion of any game. The 4 Heroes of Light was awful about save points, but I still loved it.
Depending on how you define the start of the generation my view of death penalties has changed too. World of Warcraft original had some of my ire for lacking a death penalty at all, but I have come to enjoy it really and want it in other games. I don't mind making something so hard that I die, but I have no desire to lose several hours of game play just because I died. I don't really see the fun in it anymore, and I am not sure I ever really got anything out of it. Of course this all happened in 2004 shortly after the DS launched, but long before the 360 came out.
I have done quite a bit of experimenting, but my core beliefs just keep getting reinforced. Online play still has absolutely no appeal to me outside of MMORPGs. I still love local multi-player, and have begun to avoid games that sacrifice local for graphics. Still don't care about graphics either despite the formerly ever present claim that seeing games in HD would somehow make me dislike the visuals of the Wii.
Suggestion to those of you saying you like fewer games, and listen to reviews more. Stop listening to reviews! If you are liking fewer and fewer games then it is probable that you just don't enjoy the same games the critics do. Nothing wrong with that if ya ask me. I ignore them as a rule since they never seem to suggest games I would enjoy, and often exalt games I loathe. Try games that sound appealing to you, and ignore what someone else says you should enjoy.
