Enterprise vs. Millenium Falcon
Falcon has more maneuverability but, Enterprise has the photon torpedos.
Enterprise blows Falcon, Chewie, and Han Solo into a trillion tiny parts of metal and Solo/wookie flesh.
Federation ships vs. Rebel Ships
Federation wins hands down. They have more ships and much better technology.
Federation ships vs. Empire
The Federation wouldn't have to worry about taking out the Empire. One borg cube would detroy the death star and the galactic fleet in a few hours.
Vulcan Spock vs. Jedi Luke Skywalker
Jedi have the Force, and Light Saber. Vulcans have the mind meld, vulcan pinch nerve techique, Vulcan phaser gun. Another thing to note is Vulcans are incredibily strong. 3 times the strength of humans.
Edge goes to Jedi because the force allows him to do almost anything.
Kirk vs. Solo
Solo seems to be more of a street fighter while Kirk has great hand to hand combat training. Kirk fought a klingon in Star Trek 3. Solo has engaged Storm Troopers and Scout Troopers in hand to hand combat.
This could be a draw but, Kirk might have the edge with his phaser weapon that can vaporize his enemies. Solo's blaster was accurate but, it never seemed powerful.
Princess Lea vs. Uhura
Lea killed the most notorius ganster in the universe. Uhura helped the federation temporarily infiltrate Nimbus III by seducing some rebels.
The edge goes to Princess Lea because she has excellent weapon skills and was a politician in the empire.
R2D2 vs. Scottie
R2D2 can hack into any computer system and repair any vessel. Scottie has an engineering solution regardless of how much damage the enterprise takes and is an expert on beaming technology.
This is a draw.
3CPO vs. Doctor mccoy
Both characters provided some comic relief to the series yet both served a significant purpose. 3CPO is the master translator while Mccoy is the best doctor in starfleet.
Mccoy gets the edge because he can adapt better to different situations. He and Spock helped save the enterprise in Star Trek 6 when they built a torpedo that could track gas emitted by a klingon vessel.