I wouldn't change my nature, preferences, values, personality, etc. etc. What I would change would be some simple, little, thing that I might do (like leave socks on the floor - which, by the way, I've NEVER done :) ); if the other person said something like, "It would be easier for me if you'd just throw your socks in the laundry, rather than on the floor." Or, another example, if I preferred, maybe, loud TV; but someone else was bothered by it. Again, I'd be happy to turn down the volume.
The only reason I even bring up this kind of "changing for someone" is that many people seem to think that this kind of thing is "changing for someone" - when it's really only "changing our ways in one thing or another", rather than "changing ourselves".
(So, all you sock-leavers and loud-TV-watchers out there, for goodness sake. It isn't a big deal to just cooperate with someone, and make their life a little more pleasant!. You don't have to worry that the person is "trying to change you". They're only asking you stop making their life more miserable than it really needs to be over something so minor. :) )