There are lots and lots, retail finance is conservative but investment banks are often much more willing to take a risk as are smaller hedge funds, prop shops etc.
There are thousands of unexplored opportunities in the financial sector that are begging to be taken by startups. If you have a clear value proposition, then selling into the financial market is easy. This is especially true if the product you're building helps your customers make money.
Every major investment bank has thousands of developers on payroll building internal systems, they'd love to just be able to buy off-the-shelf solutions that solve their problems instead.
If your product is good than your customers aren't going to be worried about you going out of business, because they know someone will acquire you before that happens. They're more likely to be worried that one of their competitors will buy you.
Sure you need to be more active in doing sales, but because the financial community is relatively tight-knit this is relatively easy. A lot of the time it's basically calling your old colleagues and getting them to make an introduction for you.
When I left the last investment bank I was working for to start my startup, the head of the trading desk pulled me aside and said "if you're building something in our space, come and pitch us first". That's the nature of the sector, everyone wants to get the cool new tech that's going to give them the edge on the market.
Banks and Financial tech firms also tend to be very active when it comes to acquisitions. It's considered a standard way to get exclusive use of a technology or to expand your firm.