I'm impressed you even know who Medicine is. I believe they were the first American act signed to Creation, they certainly fit the bill of the rest of the bands on the label at the time.
I was a huge Posies fan. They were more of a power pop band though.
School of Fish was my favorite 90s band. They had one pretty big hit, 3 Strange Days, but their two albums were just great. But they didn't sell and they broke up, then the former lead singer died of testicular cancer.
Live was another favorite. I got Throwing Copper on the first day it came out and had no idea it would be so huge. Then it got so massively overplayed I got sick of them.
And Medicine. They were a noise rock band. And shoe gaze.
There was a lot of different types of rock in the 90s. Really vibrant era.
STP to me was always more a hard rock band, but to me, so was most "grunge". Grunge typically featured very heavy guitars
I've read some interesting takes on the 90s music scene in this thread that aren't entirely accurate. I sure wouldn't consider the rise of 90s Brit pop a reaction against American alternative rock, most of the original grunge bands like Mudhoney Nirvana and Tad were getting airplay in England before the US. The Brit pop sort of piggybacked the whole alternative musice phenomenon and most of those bands were influenced by stuff like Sonic Youth and the Pixies but also The Smiths and The Cure and the shoegaze movement which was just coming to an end. I'm not sure how successful the mid 90s Brit pop movement really was. Sure it established Radiohead as important and Oasis were huge, and Blur had a couple of hits, but we still didn't care about Suede or Charlatans UK or Elastica or a bunch of other bands NME hyped to hell and back, The 3rd Brit Pop movement in the early aughts was probably more successful