Played since 1982 or 1983 (that's 1E). I was never particularly satisfied with rolling, although there was a long period that I was too green to know anything else existed. I've played with various stat-buys and pseudo stat-buys, but the 3E buy method is the best I've seen for D&D.
For most types of games, I wouldn't consider using anything else. Whether you just are trying to build to a certain concept or rounding out a dungeon-delving party, randomness in the creation process just doesn't make any sense to me. In fact, I'd consider it counter-intuitive.
The only way I'd add in the randomness or play in a game that did things that way would be if that was supposed to be part of the challenge (or if I really was totally without a concept, which is rare). Of course, if that was the case, why do things half-way. Don't allow rearranging -- take the stats in order and play it.