A Jedi can perform many maneuvers that can not be performed by any other. One example would be the ability to jump higher. Here are some more examples.

• In ESB, after Luke is forced into the carbon freezing chamber, he quickly leaps straight up into the air and grabs a hold of several tubing and pipes probably at least 20 feet above the bottom of the pit.
• In TPM, After being knocked down several levels in the palace generator section of the Queen's palace, Obi-Wan leaps up what looks like at least thirty feet to a higher level. And not only that, he leaps so high, he lands on his feet on the catwalk above.
• Secondly, in TPM, after Obi-Wan is knocked into the pit and grabs a hold of that small stump. He propels himself upward at least 20 feet into the air over Darth Maul while doing a flip.
• Other instances could be: Anakin's ability to podrace and Qui-Gon snatching Jar Jar's tongue in Anakin's home.
• And lastly, when Obi-Wan and Qui-Gon notice that their battle with the battle droids is not going to be resolved anytime soon, they quickly bolt to the right (your right) and run at an extremely fast speed.

The Star Wars RPG offers insight into other Jedi powers. Among the more interesting ones:

• Concentration - allows the Jedi to concentrate hard and focus on a task at hand, giving him more ability to accomplish it.
• Magnify Senses - allows a Jedi to "feel" what may be happening in another place almost anywhere. As the Force is in everything throughout the galaxy, so may a Jedi powers extend just that far.
• Transfer Force - somewhat like how Obi-Wan brings Luke back to consciousness in ANH, but on a larger scale. Allows the Jedi to transfer his personal life force into someone else.
• Hibernation Trance / Emptiness - allows the Jedi to go into meditation, and when he comes out, he will be much stronger in his abilities. Seen in "Heir to the Empire".

StarWars.Com tells us of a few interesting abilities that Oppo Rancisis and Yaddle have:

Rancisis is a master of Malacia, a Jedi technique that induces a powerful dizziness and nausea in enemies. It is completely incapacitating like a hammer blow, but does not cause any lasting physical damage. He has taught the technique at the Jedi Temple for over two decades, but only a few other Jedi have come close to mastering the difficult discipline.

With centuries of training behind her, Yaddle is skilled at all Jedi techniques and is one of few Jedi entrusted with the dangerous knowledge of Morichro - a forbidden Jedi art that rapidly slows the body functions of other beings, easily resulting in death.

Moving Items/People

A Jedi has the ability to move practically any object using the force. Some examples would be: Yoda moving Luke's ship in ESB, Luke moving his lightsaber to himself while in the Wampa cave. Another interesting note is the Force movement power done by the Jedi is always applied differently; this can be analyzed by noting two different scenarios in The Phantom Menace.

#1 On the Federation Battleship, just after Obi-Wan and Qui-Gon escape the gas and are battling battle droids. Obi-Wan uses his Force ability to knock down three battle droids as they approach him. The droids separate into small pieces before they hit the ground, so it is obvious that the force impact on them was great and caused them to split apart.

#2 During the point where Qui-Gon and Obi-Wan rescue the Queen from battle droids. After disarming his lightsaber, Qui-Gon uses the force to propel two battle droids so hard that they are flung into the wall behind them before being destroyed.

These two scenarios present different ways a Jedi can use his force power to move objects. In scenario #1 Obi-Wan's force is quick and hard against the droids. So it can be said that he used a large but quick force on them. In scenario #2 Qui-Gon's force was not as strong as Obi-Wan's, but he applies it for a longer amount of time causing the droids to fly farther back then Obi-Wan's, but stay intact until hitting the wall behind them.

Also, Luke in Return of the Jedi levitates C3-P0 through the air to simulate his god-like status.

The Jedi Mind Trick

We all know the Jedi mind trick, used by Obi-Wan on the stormtroopers in ANH, by Luke on Bib Fortuna in ROTJ and by Qui-Gon on Boss Nass in TPM.
Jedi mind tricks do not work on everyone. It is apparent that some races of creatures are immune to the mind tricks and that they only work on the weak-minded.
"The Force can have a strong influence on the weak-minded."
- Ben Kenobi, A New Hope
In TPM, when Qui-Gon tries to use a mind trick on Watto, it does not work.
"I'm a toydarian, mind tricks don't work on me, only money!"
- Watto, TPM
And in ROTJ, when Luke tries to sway Jabba into letting Han and Chewie go, Jabba refuses.
"Your mind tricks will not work on me, boy."
- Jabba the Hutt, ROTJ
Either the particular race of Hutts is resistant to mind tricks, or Jabba is not weak-minded and can not be swayed with mind tricks. According to the Star Wars CCG, Jabba has high Force ability. And in the novelization of ROTJ, Jabba comments "I am unaffected by your human thought pattern." So both seem to be correct.
Force in a Lifespan

When we are strong with the Force, we can live for an exceptionally long time. This is proven in the following quotes.

Master Yoda, you can't die." - Luke
"Ohhh, strong am I with the force, but not that strong." - Yoda

"Obi-Wan Kenobi! Surely he must be dead by now. - Grand Moff Tarkin
"Don't underestimate the Force. - Darth Vader

Another example of the Force's ability to prolong life force is shown in how old people are. Look on the Jedi Council. Ki-Adi-Mundi, Oppo Rancisis, Yaddle and Yoda are good examples of how ancient and venerable Jedi can be. Granted, this may be a function of their species and not their Force powers, but it would explain a lot.

One thing that gets a LOT of attention with the life-force abilities of the Force is vanishing. Why is it that Yoda and Obi-Wan disappear when they die, but Anakin and Qui-Gon do not?. . . Hopefully, we will find out in Episode III.