Most of the time this is just fine. The only issues I could think of with this might be saisons and lagers (and maybe "hybrid lager" yeasts).
I experimented with Wyeasts Belgian Saison strain this summer and it was actually good keeping it at room temp (68F to 72F) at the beginning until vigorous fermentation slowed, then I began ramping up the temps, trying to get into the upper 80Fs.
From what I've observed around here, SOP with lagers is usually to pitch at low temps and keep them low for the first 5 (or so) days of active fermentation. After that it is brewers choice on whether to have a diacetyl (spelling?) rest, and at what temperature to bump it up to. Rarely will it be above 68F, and the only reason I cite even that warm is because everyone is talking up some blog where a guy has success kegging lager after about six weeks and that is what he does.
"Hybrid lager" strains like Wyeast's German Ale and California Lager I think are usually kept around 56F to 62F the whole time, maybe some will recommend a slight bump in temp after a week, but I wouldn't go to room temp. German Ale is supposed to produce very little diacetyl and I assume it isn't a problem for the others either, so they can sit at their recommended temps the whole time.