The absolute best band of all time, without question, the hands down, no contest winner... The Doors.
Followed by (from various genres and order may be debatable) based on overal musical talent, not necessarily favorite bands, but I do like all of these: 2. X (when Ray Manzarek produced them) 3. Bow Wow Wow 4. Bauhaus 5. Love and Rockets 6. Blondie 7. Jethro Tull 8. Oingo Boingo 9. Yello 10. Agent Orange
I have to be honest and not include some of my favorite punk bands as best ever bands, great stuff but not fully rounded out talent. Even the Ramones (as awesome as they were) were three chord wonders, not complete musicians.
I debated on adding Boston to the list, but when you make three identical albums, that kinda eliminates you from a best ever list (should have made one album and called it a day).