The Lumintop Tool AAA (already mentioned) is an EDC for several people here on this forum, and I carry one on my keychain.
The AA version of the same looks interesting, but then I feel like we should mention the Klarus Mi7 as well. Both have generated some interest here on the forum.
I'm not sure I caught a budget limit? Sorry if it was mentioned already. Reason I mention it is that Zebralights has some very interesting AA lights, but that's pushing the limit on what most would call budget light.