What ?!

Johnny Cash, all of the American Recordings and Unchained
J.S. Bach's Brandenburg concertos (all 6)
Wolfe Tones
Tartanic (probably will be hard to find that group)
Dirty Dozen Brass Band
Billie Holiday (especially Lady in Satin)

The fray
Red hot chilli peppers
cat empire
foo fighters
offspring
nickelback
gorillaz
jack johnson
john butler
kings of leon
the lonely island(lollolololol)
thirsty merc
wolfmother
THREE DOORS DOWN(<<best)

hopefully that might be nice enough for you

Well, if you want some variety, why not get some good covers?

There's an album called Punk Goes... and they do a bunch of cover songs.

Punk Goes Metal
Punk Goes Pop
Punk Goes Acoustic (these aren't covers)
Punk Goes 80's
Punk Goes 90's
Punk Goes Acoustic 2 (these aren't covers either)
Punk Goes Crunk
Punk Goes Pop 2

Those are those albums...My favorite songs from those albums are:

Love Song by Sara Bareilles covered by Four Year Strong
Toxic by Britney Spears covered by A Static Lullaby
Umbrella by Rihanna covered by All Time Low

The funny songs are:

...Baby One More Time by Britney Spears covered by August Burns Red
When I Grow Up by Pussycat Dolls covered by Mayday Parade

Baby One More Time is funny because August Burns Red is Metal. So they SCREAM in a Britney Song.
When I Grow Up is funny because Mayday Parade is a boy band, no not as in N*sync, as in a band with guys. So, they sing this song, yet they don't change the lyrics...