Though they suck more often than not, Primal Scream had some good years in the late '80s and early 90s. Never noise, but sometimes noisy. Also, historically inseparable from the very bands you're trying to avoid, so probably not a lot of help. Oh, and they're Scottish.
Napalm Death is noisy as fuck, and definitely not shoegaze.
Kinda blanking. Every band I think of is at least a little JAMC-esque.
There's always Spacemen 3. Again, not noise so much, but noisey. One of the best bands ever.
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