I don't like Offspring (or in general the kind of punk rock they play), but they have plenty of songs that are actually really good, especially for partying.
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I also can't stand Anathema for the most part, but their whole album A Fine Day to Exit is really fucking good.
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Paradise Lost is another band that for all intents and purposes I can't stand, but there's something about their catchy tune "Mouth" that has always grabbed me.
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I'm sure there are a shitload of songs I enjoy from bands that I don't, but that makes it so much harder to find them all.
There was also a Soilwork track I once thought was pretty cool.
In Flames suck rancid ass but I've always kind of liked this track:
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Gay, I know...