To unlock all of the Spider-Man: Miles Morales suits will take a while as there are a lot. There's also the issue of a "locked to story progression" message that prevents you getting at some of them, with no explanation to what you need to do about it. The short version is that...
Here's all the spider suits you can unlock in Spider-Man: Miles Morales on PS5 and PS4. Be wary; potential spoilers ahead!