I do have my favored character type of being the Skill based types but most of the time I make the character random, and not just the stats.
Roll die, Even=Female, Odd=Male.
Count the number of classes, and roll die. That is what class I start with.
In DnD I roll for alignment 1d10, reroll if 10, baring alignment restrictions from class.
Once those basics are done I make the character as normal.