People who think they're overrated probably suffer from Muzak overload.
Go forth and listen, and you realize how amazing they were. Start from the beginning, even the early albums have some great songs you won't remember, albeit 2-3 minutes b/c time restrictions on AM radio in those days (you needed pot smoking FM DJs before extended songs could have a market). Include the two compilations from the mid-1960s of the singles that never made it to albums, those two alone could kick ass compared to most bands (Hey Jude, Lady Madonna, et al).
One reason most groups after the 1970s simply aren't that good is songwriting, it's hard to write good song after good song, few solo artists can keep it up (even Dylan ran out after Blood On the Tracks), Neil Young is one of the few, the Boss's output steadily declined after the River, Townsend peaked with Quadrophenia and so on.
So the groups that had songwriting teams (Lennon-McCartney, Jagger-Richards) were able to come up with a much bigger volume of good songs than most solo writers. I think the interplay of two or more writers often resulted in creative synergies.
(was on heavy rotation alongside Metronomy, Justice, Phantogram, Manu Chao, The Pixies, Caribou, Gold Panda, Daft Punk, Gorillaz, Pulp and Blondie for ~6 months!)
