There have been so many influential bands over 5 decades here are my choice.
The 60s The Beatles, The Rolling Stones, The Kinks and The Doors
The 70s Queen, Pink Floyd, Led Zepplin, Bee Gees
The 80s The Jam, Queen, The Smiths
The 90s Oasis, Nirvana REM Radiohead
The 00s Oasis, Muse, Foo Fighters