1). Silk Road or dark net markets in general. Can't be done with Visa or other existing solutions at any kind of scale
2). Funding of political dissidents. Wikileaks, canadian truckers, etc. These people got blocked by traditional payment providers but still received crypto. (there are still other obstacles for dissidents but at least this solves 1)
3). Money laundering. Find someone who sells bitcoin miners, buy them with dirty money and use them to mine bitcoin sent to fresh address not tied to your other activity.
4). Uniswap and maybe flash loans in defi seems like new things I haven't seen in tradfi or elsewhere. Maybe some cool promise here
I'm sure they're others. But I think the key common thread is that all of them require censorship resistance. If what you're doing isn't likely to be censored by authorities then you're being incredibly wasteful by using blockchain