I don't know who Jason Brody is so i'll have to go with Lara Croft on this one Dr. Evil vs. Hector Con Carne
I don't know who either of those people are so neither Naruto Uzimaki vs. Black Star in a Ninja Battle to the death.
Puss in boots has won many times over, and will continue to do so forever. Thrown pies vs large brick wall
The wall (Just want to say that if you don't know who the combatants are, don't answer.) Moving on... Gene Simmons Vs. Satan
Tardis is unarmed, but almost invincible... Hmm... The Tardis could just sit until the dinosaurs eventually die, thus winning by default. The Cybermen vs. the Borg in an all-out war.
Guitar beats bass, so Rockout. The Cybermen vs. the Borg in an all-out war. (If you don't watch either show, then don't bucking answer!)
Oh good question Rids! Moffats damned super Cybermen would be tough to beat, but I believe the Borg have a huge numbers advantage + time travel capability so Borg by attrition! Also Borg have the super defenses. Sherlock vs Adrian Monk first to solve the mystery wins!