A few you might consider
Under the Milky Way, The Church
A Million Miles Away, The Plimsouls
Now, The Plimsouls
Susanna Hoffs and the Bangles ---- a bunch of their tunes
Needles and Pins, The Searchers
This Charming Man, The Smiths
Inside Out, The Mighty Lemon Drops
South Central Rain, R.E.M.
The Break Up Song, Greg Kihn Band
For You, Greg Kihn Band (Bruce Springsteen cover)
So You Want to be a Rock & Roll Star, Tom Petty & the Heartbreakers
Surrender, Tom Petty & the Heartbreakers
And a very nice cover version of "If I Needed Someone" from Roger McGuinn's solo CD "Limited Edition" with his Rickenbacker playing three parts in some parts of the song. A fitting tribute to George Harrison.