Not unless I have to!!!
I have them arranged by system, in separate rooms sort of...all my early SS are in the basement, 1 wall is EM's and other manufactures (IE: Stern, Bally, Zac.) 1 wall is hubby's faves, and 1 wall is my faves (the fave walls have gotten a bit jumbled due to games coming and going for shows), 1 wall is sys 9s and 1 sys 11, system 11s (because most have toppers and they won't fit in the basement) are in the dinning room...newer DMDs and Stern's are in the living room & family room...now when it comes time for shows, then they all get jumbled up a bit, and we just had a tourney here at our place a couple weeks ago, so the tourney games all moved to the garage. (and they haven't made it back to their areas yet)
When I pulled games from the basement for the tourney, I pulled others from storage, and set them up in the empty spots for the party, now I have too many games and not enough spots...so we're currently "discussing" leaving the tourney games down for a bit, until I get my garage/storage built then the garage becomes another game room! (soon in talks with several co.s now) but I'm not liking having games down, so the "discussion" goes on!!
But NO I don't move games around unless I have too!! Oh and FYI...those 3M furniture slider things are AWESOME for slipping under legs and sliding games around (especially when you don't have clearance for a pin dolly or lifting them to move)!!