I know in general we rule l'halacha like Beis Hillel except in a few cases. I know there are other rules where one rabbis rulings top another's in general (not referring because of the era they are from) would someone be able to provide a list of these?
Hi and welcome to Mi Yodea. Take a look at the ones listed on Halachipedia's Klalei HaPoskim pages In general, there are some sefarim that do this really well, depending on whether you're looking into Tannaim and Amoraim, Rishonim, etc. See the further reading section there for a list of them.