I like random, but after I get my random one I save, then I exit and go to the main menu and scour the civpedia planning. I get really geeked out by the whole process of looking at the UAs and UUs/UBs in detail, planning the best techs to get them, seeing what research paths they'll take me on and what wonders that will open up, how they synergize, etc. I also decide if I'm going to be a good guy (Siam) or a bad guy (Mongols) and roleplay it a little.