One of the old skating books (can't remember which and I'm not home to check) has a table of all possible jumps. Basically take any turn and you can do a half jump or a full rotation. Given that there are four basic turns (3 turn, bracket, counter, rocker), forwards and backwards and the different edges, toe-assisted or not, that's a lot of jump possibilities, and that's without worrying about the fact that some jumps are landed on opposite feet, eg waltz/ three jump versus a jumped three.
What was interesting with the table, was that it listed the names of the jumps, so a 1 revolution jump from a back counter with a toe-assist is a lutz, and without the toe-assist is a toe-less lutz (bit unoriginal on that one!). Quite fascinating to realise how many jumps used to be performed and have dropped out of favour and IJS doesn't really allow for some of the more unusual ones to make a come back.