Magically-insightful financial info would seem to be among the most-lucrative options.
Knowing how & where to invest -- and not to invest -- looks like a winning strategy.
Where, though, do his insights come from? Sight into the future is not very reliable... it sounds like it can come and go. And time travel is a no.
Harry seems to have a talent for "finding" -- I bet he could "find" all sorts of unclaimed valuables, in the right places. He could be a gold-miner, a treasure-hunter, etc.
I think when he finds stuff he has to have a link to it - like from a previous owner. He doesn't find all lost pearl necklaces, he finds Mrs. Smith's. So Spanish gold from a wrecked galleon is a no-go. Or a less ethical Harry could decide to find 90% of what he can to turn into the client, and 10% he finds and keeps for him.
If willing to break mortal law, wizards could smuggle amazingly well... veils (or simple illusions) to hide valuables, Ways through the nevernever to bypass customs entirely, etc.
THIS, he could do. Human trafficking. Escorting drug mules. Or even carrying it himself.
Vigilante wizards could magically-spy on drug-lords, sleep them, and swipe a bunch of their cash.
But also, it's clear different wizards have different proclivities & talents. Some will likely be more-inclined to some pursuits than others. I presume not every wizard has a relatively-easily-monetizable talent... but that most do (if they aren't burdened by the kinds of ethical qualms Harry seems to be).
and, of course, he was offered a contract from Marcone. Heck, he might not have had to actually DO anything. Might have been paid for non-interference. Or a rare consult - like when someone uses magic against Marcone, Harry comes in and says "Ah, the old exploding heart spell. Third time this week."