More Non-Beatles Beatles
This one, "Try Not to Listen," is by an utterly obscure American band named Felix Harp. This was recorded in the early 70s, and came out on a totally lost album (The First of Felix Harp), then re-released in the late 70s as part of a tax-scam record label project, almost certainly without the band's knowledge.
One could argue it's really an entry in the "wish that we were Badfinger" derby, but it has lots of Beatlesque elements as well.
Next we have a nearly indescribable one, recorded by Jim Dandy and the Sugar Beets in the early 1970s. This "band" was actually Richard Wisniewski (a returned Vietnam vet), his dad, and some other family members. Their three 45s were released on their own self-financed label and never went anywhere...until the Internet; they were recently featured on WFMU's Beware of the Blog series. This one is called "Dust to Dust." It bears more than little resemblance to one particular late-period Beatles song, down to the attempt at the solo, but is, frankly, crazy. (Thanks to Bob for recommending this one to me last year.)
More later. Peace.