Let's see..."off-beat, not seen that often"...how about:
"Lock, Stock, and Two Smoking Barrels" (British crime comedy by Guy "Mr. Madonna" Ritchie...his "Snatch" is also good but very similar)
"Big Trouble" (Tim Allen comedy from Dave Barry book - enough said)
"Tremors" (hilarious 50's-style monster movie, first sequel isn't bad either)
If you like 'Buckaroo Banzai":
"The Fifth Element"
My Stephen King "non-prison" trilogy:
"Christine" (one of John Carpenter's better efforts)
"Misery"
"Delores Claiborne"
("Shawshank" and "Green Mile" are already on everybody's list, right?)
The Evolution of Antoine Fuqua:
"The Replacement Killers" (John Woo-ish thriller with Chow Yun Fat)
"Training Day"
"Tears of the Sun" (the movie that "Behind Enemy Lines" wants to be when it grows up)
"The Village" (M. Night Wossname's best, IMHO)
And for music fans:
"Secret World Live" (Peter Gabriel)
"Pulse" (Pink Floyd, more or less)
Where are we going? And what am I doing in this handbasket?