He would probably do everything better. Maybe not plan the Jabba attack as well (if you can call that well), but he would make it, he's to good to lose to such people, he's been through worse.
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1.He does better, and he doesn't need Han's help, he takes out Vader on his own.
2. He does better, he uses the Force to pinpoint the AT-AT's weakness and destroys several of them on his own.
3. He is smart enough to keep his lightsaber on him. When the Rancor attacks him he cuts thought the metal beams behind the door into Jabba's throne room, and lets the Rancor in there to kill everyone (what Luke was trying to do).
4. This would never need take place, they'd all have been eaten by the Rancor already... but he pwns them. During the Clone Wars he took out countless numbers of Battle Droids, those guard wouldn't be threatening at all. How many of them are there? 20-30? They get slaughtered.
I don't know if ROTS Anakin would shoot Vader down -- the one aspect that Vader didn't suffer in after Mustafar was piloting, and with twenty more years and more experience in the Force, he's possibly better than he was before.
In any case, though, ROTS Anakin is much better than Luke, so he destroys the Death Star with pathetic ease.
The Battle of Hoth would be similarly easy; he probably wouldn't get shot down, and would take out several walkers.
Since Anakin probably wouldn't decide to, for no apparent reason, entrust his weapon to a droid, he would ignite it, let the rancor out, and help it kill all the villains.
If the sail barge battle was to take place anyway, he would have no trouble winning the fight by himself. ROTS Anakin is far more powerful and skilled than Luke, who managed fine.
So, yeah. ROTS Anakin takes all of these with ease.
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I think number one and four would go worse. A lot worse.
1. Anakin being greedy and cocky would try and loop behind Vader, and challenge him one on one, seeing that he went against all logic and took off after Asajj during the Clone Wars. In the mean time, Yavin would be blown to bits, and Anakin eventually shot down.
2. Battle of Hoth, he takes a few of the AT-AT's by himself, kicks some as, takes some names, etc.
3.Kicks ass, takes more names, uses the force to tame the rancor, rides it, is unnecessarily flashy, but ultimately victorious.
4. He wouldn't have the lightsaber, seeing as how he wouldn't ever let it leave his side and it would have been taken when he was captured (even thought that wouldn't have happened in the first place), so he'd be doing this without a lightsaber, and Boba would kill him.
Or:
He does have his lightsaber, he receives it, kills the thugs, jumps to the other skiffs, kills those thugs, kills Boba after a cool battle, jumps on the main barge, kills everyone, and then looks back to realize that he forgot to save Han, Chewie, and Lando, who are by this point, toast.
1. You do realise that that was Anakin as a padawan. He clearly learn't from his mistake afterwards when Obi talked to him. ROTS Anakin, knowing the death star would kill them, would certainley do his job. That's like saying Anakin would try to go after every droid ship during the battle of courascant in the beginning of ROTS, instead of going to rescue the chancellor.
4. Seeing how he would pwn in 3, he wouldn't be taken to this situation. However, pretending he got captured, it would all depend on wether or not he had planned this whole thing, or if we are just picking up from the last one. (If we are, this one doesn't exist).
So it is impossible to make a statement, but since this kinda is "What happened if ROTS Anakin and Luke changed places", this IS Anakin when R2 has his lightsaber. So Anakin pwns here as well, and does BETTER than Luke. He wouldn't forget his friends, he's probably the least likely person to do that.
Padme in the arena, he didn't leave her side once.
Has saved Obi-Wan's ass 9-10 times during the clone wars. If he was as stupid to rush into action as you say, he wouldn't have time to save him either.
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No, Vader would go down to Anakin before Anakin even starts his trench run. As soon as Vader comes and starts targeting X-Wings, Anakin goes after him - Vader got punked by Han Solo in the Falcon. Anakin would take him for sure. Then he proceeds to blow up the death star, and Biggs never dies, a few other rebel pilots are saved as well.
1. He destroys it to , Luke at this point is a World Class pilot, but he hasn't develop his Jedi senses like Anakin did. And in my opinion ROTS Anakin is the best pilot ever.
2. He does better then Luke, he doesn't get hit and destroys more AT-AT and other vehicles.
3. He kills the Rancor in a straight duel, doesn't need to run like Luke, he jumps on him and stabs him in the brain, like in the CWC, on the planet of Nalvanians.
4. He slaughters them all, even Boba Fett.
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He was concentrating at Luke, he was right about to shoot him. It was just like how Sidious, the most powerful sith lord of all time, didn't sense Vader attacking him.
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