I don’t know that I would call Sincerely by The Dwight Twilley Band an obscure album (it isn’t amongst "my type"), but I sure concur with the opinion of @buckroe. It is in my Top 10 albums of all-time list, an incredible melding of 1950’s Rock ’n’ Roll and 1960’s British Invasion. A perfect album! The Group’s follow-up album Twilley Don’t Mind is also mighty fine.
Another album from approximately the same time is also a perfect album, and is also in my Top 10: Get It by Dave Edmunds. Not exactly obscure either, though it may be to a lot of you younger fellas. Dave was (he has retired) the best Rock ’n’ Roll producer working in the mid-70’s through late-80’s, and was along with Nick Lowe a member of the Supergroup Rockpile, whose lone Seconds Of Pleasure album is yet another perfect one.
Speaking of Edmunds, one of his most remarkable production jobs was the Shake Some Action album by The Flamin’ Groovies, another of my favorite albums. As with The Dwight Twilley Band and Dave Edmunds, The Groovies had superb taste in material and approach. Rock ’n’ Roll (the real stuff, not the "Rock" that is commonly mislabeled as Rock ’n’ Roll) just don’t get no better!