What Kind of Test Scores Do British Colleges Expect From Americans?

The GPA does not matter, UK unis do not look at it (apparently with the exception of St. Andrews). They require a certain minimum number of AP scores or subject tests, and usually (but not always) a minimum SAT or ACT score.

There is no such thing as a UK university that’s a match - you apply for a subject at the university, and the requirements for the subjects as well as the scores for those subjects differ. Every school puts those on their websites. It’s not arcane knowledge you need to try to suss out on a discussion forum. You just look it up, and then you fulfil the requirements or not (meaning the OP, of course, not you personally).

As far as Oxford or Cambridge are mentioned, that one’s easy: they require an ACT of at least 32, so the OP needs to retake and improve or they simply need not apply. For most other schools (Edinburgh, KCL…) an ACT of 29 is usually sufficient. Again, it may depend on the subjects and sometimes on the number of AP scores you can present.

if OP wants to show his mastery of Latin, he needs an AP score in the subject. Passion and commitment are all very well, but first and foremost, UK admissions is about prior academic achievement. Context matters very little, if at all.