Here some I have played on accordion in bands and yes, in front of people...and they didn't think it was too weird to hear accordion in these, at least, they didn't get up and leave!
Brown Eyed Girl, Crazy Love, Wild Nights--Van Morrison
Hey Good Lookin---Hank Williams
The Weight--the Band
I saw her Standing There--the Beatles
Feelin Allright--Joe Cocker
Statesbough Blues--Allman Bros.
Ain't too Proud to Beg--Temptations
I've done all these on the regular 10 button box...but usually tuned wet and many times with the two middle reeds only (no piccolo or bassoon)..so only the two "back stops up.
I have done many more "non Cajun" songs on the piano accordion--anything can work and any key is great on it...Clifton explored all those cross hybrids many years ago.
How about blue & rock n roll patterns?
I used to play Otis Redding's "Mr. Pittiful, that one is fun to play !!
"half aboy and half a man" by Nick Lowe is a nice one and
"come dancing" by the Kinks.
Also, didn't Damon Troy do "The Secrets that you Keep...when you're talking in your sleep" by The Romantics ...And "Oh. It's Party Time." by some country artist.
Check out KeKe Borque's CD. There's a Bob Seger, Kiss and a Tool cover, all done well.
...make that "KeKe Bourque."
And Quebec and Newfoundland stuff
Paul McCartney covered "Brown Eyed Handsome Man"
with Cajun accordion accompaniment.
Many "Creole/Zydeco" bands cover R&B tunes ..
Keith Frank did "Do you Like Good Music" (Sweet Soul Music).
I'll probably think of more whilst I drive to work :-)
One of the first tunes I learned was "Silver Threads
and Golden Needles" - an old country classic - that
can be played fast for a 2 step or slow for a waltz..
its a natural.
Didn't Wayne Toups or someone play accordion on Mark Chesnut's "Get a Life". I don't remember if I heard that here or on KBON
Johhny Be Good in the second position plays good on accordion. Take Me Back To Tulsa is another one. Back In The Arkansas, folk song does good.
Or how about Jingle Bells!
Someone once requested me to play Havanagila on the Cajun accordion at a wedding reception.
Check out Danny Colette's latest release -- Gimme Gimme Good Lovin' and Bob Marley's Stir It Up -- just to name a couple.
Some of the O'Carrolan's Airs and Irish waltzes sound nice. Switching on just the high and low reeds make for a unique break.
Here's some that we do and they all go over well.
Gotta Wear Shades by Timbuk3
Promised Land (Geno does this all the time)
Whole Lotta Shakin goin' On (Jamie Bergeron version)
Rockin' Robin (similar to the Monkey and the Baboon)