I wish I had my Irish joke book. It was awesome. I'll do a few I can remember, anyway.

Paddy and Mickey are caught speeding, and the cop comes over and taps on the window. Asking for their name and address, they respond...
Paddy: "I'm John Smith, of no fixed address."
Mickey: "I'm Mickey O'Tool, and I live in the flat above."

Paddy and Mickey are working their new jobs at a timber yard when Paddy hears a yowl from Mickey. "AUGH!!! Paddy, Paddy! Help! I've lost me finger!" he screams.
"How'd you do that?" asks Paddy, running over.
"I just touched this big spinning thing like thi- Damn! There goes another one!"

A group of Irish football fans are flying on a plane back to their hometown when there is a horrible disaster, and the floor gives way. Some fall with it, but many of them grab on to the roof, hanging on for dear life as the pilot desperately tried to keep the plane in the air. Unfortunately, the weight of the people meant one more person would have to drop in order for the plane to reach a place to safely land. Yelling back to the passengers, they all look at one another until one man yells out "I'm doing this for my country!" and falls down to the Earth below. And the Irish clapped.

EDIT: Oh yeah, I like this one, too.

Paddy walks into a confession booth at his local church and begins "Forgive me father, for I have sinned." Upon enquiring as to his sin, Paddy replies: "I have made love to a woman, and I am not wed."
The priest is about to forgive the sins, but his curiosity gets the better of him. "But tell me, son, who was the woman? Was it Shirley? Shirley Brady?"
"I can not say such things, father." Paddy replies, nervously.
"Was it Mary O'Grady?"
"No, father, but I do not feel that I should say."
"Well, they should certainly be brought forward, as their sins will need to be forgiven too... was it Hannah, the young daughter of the grocer?"
"No, father, but I can not say, it is not in me."
"Very well, son." the priest replies. "Pray Hail Mary seven times, and your sins are forgiven."
"Thankyou, father." Paddy leaves the confessional booth feeling much better, and meets Mickey outside.
"So," begins Mickey "what did you get?"
"Seven Hail Mary's," replied Paddy "and a few good leads."