After the first two The Band albums, the next two albums that changed my life were:
Dave Edmunds: Get It
The Dwight Twilley Band: Sincerely
Both Dave and Dwight (along with partner/drummer/singer Phil Seymour and guitarist Bill Pitcock IV, both now deceased) drew from the Rock 'n' Roll of the 50's and the Pop of the early 60's. Dave's first half dozen albums are fantastic, as are The Twilley Band's only two (Phil left after no.2 for a solo career).