Personally, I think the Trust Levels are great. 
Every new signup starts at TL0, which is where a lot of the spam protection lives. You’ll likely have not seen much of it on the boards themselves as it catches most of it ‘behind the scenes’ before it even gets to be public. It’s mainly to weed out bots and spammers, and most human users will quickly progress to TL1 after a short amount of regular browsing.
At TL1 you get access to most features, and also have time to settle in and learn what the community is about and how things work. It’s roughly 15 visits along with some regular engagement to get to TL2. It’s a nice amount of time to dissuade time-wasters from barrelling straight in and posting all the dick pics. 
TL2 is pretty much what you’re talking about in your post. You’ve settled in, engaged with the community, and have a fair idea of what the place is all about. On this forum, this is the marker to say ‘yes, you can now post photos’. It’s not particularly difficult to get to TL2, but it does involve turning up and taking part.
TL3 is more of a perk for those people who are highly engaged. They visit often, they read a lot stuff, they’ve been around regularly and recently enough to know how everything fits together. The main draw, I think, is the kudos of earning the badge and title - though there are a couple of extra features in being able to edit topic titles and recategorise things to help keep things tidy, as well as create wiki posts.
TL4 is a manual promotion thing, and can’t be achieved automatically. This is really handy to let certain community members help moderate without granting them the full power and scope of a moderator (good for here, as we still want to limit what people can see so everyone can remain anonymous
). TL4s get a selection of extra features that mainly help to curate content rather than deal directly with users (split/merge topics, global edit powers, etc). The Serious Tools™ are still mostly Brenna’s.
I think this works well, as it’s historically been a pain when someone posts something dodgy at the weekend or over the holidays and it has had to wait for someone to deal with it.
All in all, I think that’s a good spread and I wouldn’t want to get rid of any of them.
However… Sockpuppets are still an issue.
I think (FWIW) that we may not need a public symbol of a ‘verified user’ and that this may actually be better as a ‘behind the scenes’ thing that is only visible to Brenna so she can judge who’s a possible ‘fake’ and sort them out without any of us needing to think about it.