Piano Forum

No, I don't know that there's a complete list -- Henle, maybe, graded them, but I don't know how their system works.  I think the ABRSM graded Op. 126 no. 4 (B minor, presto) at grade 6 or maybe 5.

I think all of Op. 126 is very approachable for someone about that level, but I had a challenge memorizing them as a series that was helped by reading some guy with the last name of Leather who did an master's thesis on them -- analyzing the cadences helps me remember, anyway.

I have found more recently that the Op. 119 7-11 are kind of cute, pretty much little études for stuff used elsewhere in later Beethoven, like simplified internal trills and some other stuff.  The others from that same opus are cute and inoffensive also.

I also recommend the edition by Vienna Verlag, edited by none other than Alfred Brendel, with some fingerings that are interesting to look at, if only to see his perspective, in addition to some critical notes.  I don't remember if all the text is in German or not, but if it is, and you don't read German, you'll need to sooner or later if you want to study music.