The Kinks certainly didn't have the commercial success of contemporaries like The Beatles, The Stones or The Who, but I think it is hard to argue they weren't successful.
Most of the groups I would list from the 60s or 70s didn't enjoy long lasting commercial success because they disbanded to form other groups. Sweethearts of the Rodeo, for example, disbanded after one album and its members went on to be part of The Byrds and CSN. The Yardbirds disbanded and its members formed the heart of Led Zeppelin, Cream, etc. Traffic was around for a very short time, but Eric Clapton and Stevie Wynwood had great commercial success subsequently. The members of Buffalo Springfield went on to be part of The Byrds, CSN, etc. Randy Meisner and Jim Messina, who were the founders of Poco, later were in The Eagles (Meisner) and the very much not missed Loggins & Messina.
The one great group I can think of from that era which didn't split up for a long time and never had great commercial success was Little Feat. Its members always got a lot of session work though, and it's piano player, a former client, now plays the piano for Jimmy Buffett, another former client.
Later, I would list The Cure, who are still around but never have advanced beyond playing small to midsize venues, and Southside Johnny and the Asbury Jukes, who basically became irrelevant after Bruce Springsteen made the cover of Time.
After that, with very few exceptions I don't listen to enough modern music to have an opinion. I did like The Replacements though.