I don't replay a lot of RPGs; when I do it is usually long enough after that don't I remember much, or am at least a little foggy on the details. If I do remember the game I try to do things differently (as long as that doesn't result in worse quest rewards, or something) or in a different order.

Usually I will try a different character build when replaying, but if there are a limited number of classes that might not be an option.

For old games I may be slightly more critical of poor graphics than I was the first time I played them, but it would have to be a pretty mediocre game for me to decide to replay and then quit over graphics. What is important, though, is UI. After playing point and click adventure games with context sensitive mouse cursors, etc, I find it very hard to go back to old games which require a toolbar and 15 clicks to do anything.

Non-combat stuff is probably more important now for me that it used to be. Once you play a couple games that do something particularly well, it raises your standards a bit, and may expose flaws in previously played game you didn't notice at the time.

Making a strong character (or party) is still the point of having stats/skills/levels. I don't think I've changed much on how challenging I like games to be.

Given the choice I used to always go with a male warrior / paladin (I was fine with playing a pre-set female character). Playing an Ultima or Dragon Quest game on the original Nintendo, there was a warning in the manual that one of the towns could only be visited by female characters, so I made the healer female. After that I stuck with female healers in party based games.
In the old Larian forum there was a discussion of lead female characters in games, which made me consider my default character choice, so when BD was released I started a female character.
For D2:ED I went though the male and female character customization options; I didn't care for any of the male voices, and only one of the female voices, so that was what I went with.

I never used to pay much attention to game music until around playing DD. After that I saved the music from a couple adventure games, etc, before uninstalling them. I've never been terribly picky about voice acting; usually it is either decent or not bad, rarely great or horrible.

I have not played any recent RPGs, due to an old computer (with RAM issues) and the text size being two small on a few Xbox demos I tried (D2:ED/DKS text was ok; any smaller is too small on my TV). I'm holding off on building a new computer until just before D:DC is released, so maybe then I'll be able to try out games I've recently bought in bundles, etc, or will buy in various Christmas sales, and let you know if my opinions, standards or playstle have changed.