Here are some!
For Nusach Ashkenaz:
- At the end of shacharis (when there's no mussaf)
- At the end of mincha
- At the end of ma'ariv
- At the end of mussaf
- At the end of kidush l'vana
- At a b'ris
- Shemoneh Esrei of mussaf on Rosh Hashanah
- Shemoneh Esrei of mussaf on Yom Kippur
For Nusach Chabad:
- All of the above (except, perhaps, after a bris: it's not official Chabad minhag to say Aleinu then, and I haven't seen it done, although I understand that some Chabad communities do so)
- At the end of n'ila
- After birkas hachama
For Sephardim:
- At the end of shacharit (when there's no Mussaf)
- At the end of mincha
- At the end of arvit
- At the end of mussaf (even on Yom Kippur)
- Shemoneh Esrei of Mussaf on Rosh Hashanah
- Shemoneh Esrei of Mussaf on Yom Kippur
