Most people I know prefer a particular opening. At my go club, for example, one of the players always plays a 5-4 on his first move as white. Another only plays hoshi stones (usually sanrensei). I feel that what a person uses most often in their opening says a lot about how they like to play. For example, the takamoku player likes building frameworks and commanding the center so it makes sense for him to start with a 5-4 stone.
Obviously I try to mix up my play from time to time so I can learn more about the game than just one opening, but, for me, there is one fuseki I definitely enjoy most: the Low Chinese. The first time I saw it was in "Go! More than a Game" by Peter Shotwell - my first go book - and I fell in love with it. The Chinese fuseki offers such glorious balance and potential and, frankly, it looks really cool. Whether playing as black or white I will usually try to make this formation. I also enjoy the Korean fuseki, but, oddly, I don't care for the small Chinese... Also, I like to modify the Korean by playing the 7th move high instead of low.
Years ago, I used to play Fujisawa Hosai's fuseki (3-3 and 3-4 with enclosure facing toward the other side of the board) because I favored a territorial approach to the game in my early go days. I had no idea that I was playing Hosai's fuseki at the time. It was only later that I found out that was what it was called. But that was the first kind of opening I ever used consistently as black. Apparently this fuseki is considered "unsound" nowadays, but I wouldn't mind pulling it out in a KGS game sometime.
However, while I have tried almost every standard fuseki, there is one I will no longer play: the sanrensei. I do not like it at all. I never like the results of any approach moves when against it and, when playing it myself, I never feel like there is a good way to build from it, even though it is an opening that should be capable of making frameworks. I think the only fuseki that might challenge my passionate distaste for sanrensei is a diagonal fuseki...
the Mini-Chinese Opening regardless of move order to reach there. The board has no memory of previous moves, so once a position is reached it seems odd for it to have two different names.
on 4-4.