You could go ratting in low sec once you get a good ship. In 0.4 space there are Cruiser class rats (NPC's) that are worth anywhere from 50,000 to 70,000. The lower you go the better the bounties. Level 4 missions have NPC's with bounties of around 2.5 million, while rats in 0.0 space have bounties of about 1.85 million. Rats are found in asteroid belts.

Aside from that you can become a pirate, kill other players (for security status loss) and sell the items on their ships. You can protect a mining corporation as they mine in asteroid belts and need protection from the rats that will spawn on them. You could protect a trade corporation, since they travel by freighter, transport or industrial ships that have no guns and need protecting as they travel long distances, etc. There's lots of things you can do.

Aside from that the great thing about EVE is any profession is a few learning skills away. You never *have* to make a new character to do something because you can buy a book and start learning it. You're never stuck in a position if you're willing to put the time into learning something else. I only started over because a new character comes with skills at level 5 if you build him right (my guy has Mining/Refining at level 5) and it saved me a week or so of learning. You can only have 1 skill training on 1 character in your account, so it discourages alts really unless you have another account to play on. So if you decide on a profession you like, you can still do other things by training the skills for it.