The best replacement for gnr is motley crue.

The best alternatives to gnr are rated as following:
★★★★★  motley crue
★★  aerosmith
★★  velvet revolver
★  a7x

Your alternative for gnr is not listed? Suggest!
Speaking about gnr, one probably shouldn't forget about buckethead.

Other search terms related to gnr and their ratings are:
★★★★★ buckethead
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Google Trends

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gnr
motley crue
aerosmith