Academia (teaching at a uni or FE college/doing your own academic research, after doing a Masters and PhD)
Teaching (peripatetic/freelance or classroom)
Conductor/arranger or musical theatre director
Professional musician (soloist, accompanist, orchestral, chamber ensembles, etc.)
Music therapist (after specialist training via a postgrad degree in this subject)
Arts administration (e.g. working for an orchestra or an arts organisation/the BBC)
As for non-musical, people from my year group at Oxford went onto become lawyers/barristers (after GDL), doctors (after Graduate Entry Medicine), civil servants, and one or two work in consultancy (e.g. for PwC)
So basically, as long as you get a good classification from a good uni, accompanied by a rounded CV, the world can be your oyster
Teaching- Primary, Secondary, College, University lecturer, Freelance
Community-based music- Workshop leading, Music Therapy, Musician for prisons, the army
Music Composer- Films, TV, adverts/jingles, library music, video games
Or maybe less specific; music admin, journalism, business,...
There's probably more but came up with these in 5 minutes based on what my lecturer has shown so far
Loads of people go on to do other things instead, so the degree doesn't have to be the be-all and end-all but it's up to you I'm doing a Popular Music degree myself.
i want to study music at uni but i don't know what job i want to go into after uni, suggestions?