I listened to nothing but the Beatles for three years, then graduated to Floyd, and then the wide world of music, so I think I understand the original poster's tastes. I like...
Franz Ferdinand
Apples in Stereo
Fountains of Wayne
Superdrag
John Davis
Coldplay
The Verve (Richard Ashcroft still tours... not much over here though)
Keane (have to be in the mood for No rocking though)
Kevin Max
Beck
Some older bands that you might want to check out and may not have heard of:
Donovan (still tours, and he is a cheap ticket)
Glass Harp
Emmerson, Lake, and Palmer
Left Banke (if you can find their cd)
Jimi Hendrix (get a greatest hits and Are you Experienced)
T. Rex