Is Operation Ivy any good?
Op Ivy is very good. One of the progenitors of modern punkska. Follow up with Rancid, particularly Out Come the Wolves for ska sound. Life Wont Wait is my favorite of theirs, sort of their White album. Also Tim Armstrongs solo album A Apoets Life is phenomenal. He has the Aggrolites as the backing band, check them out too. His label, Hellcat Records put out many complations called Give Em The Boot that has a ton of bands on them. I don't recommend less than Jake or bowling for soup. I DO recommend Goldfinger and Buck O Nine along with Reel Big Fiah and most of the other 90s skapunk bands mentioned. Listen to the Clash, every single day.
If you can stomach the anti-American drug induced violently anarchistic lyrics then Choking Victim and Leftover Crack offers some of the baddassest hardcore skapunk sounds. They are not rolemodels.