At the moment I'm still working on The Phantom Strikes, my TPM edit. The TPM edit will have as little Jar Jar as possible, the scenes he is in will have as little "tomfoolery" as possible. Here's how it plays out so far:
Alternate Opening Crawl - Based off of this.
Negotiations - There are no shots of the Neimodians, you just see all of the Qui-Gon and Obi-Wan parts.
Cut straight to the invasion force on Naboo - Meeting Jar Jar cut to a minimum.
No Otoh Gungah, no planet core.
Dramatic rescue of the Naboo - A few small cuts here and there throughout, making this punchier and faster.
Running the Blockade - Again, trimmed throughout.
Landing on Tattoine - See above.
Visiting Watto's Junkyard - Anakin's lines cut to a minimum, as well as Jar Jar's hijinks.
No fight with Sebulba.
Sheltering At the Skywalker Home - Small cuts, Threepio is built by Anakin but less dialogue by Anakin, conversation about slavery altered slightly, a lot of sections toned down to make Anakin a quiet, contemplative child.
The Podrace Sequence - Faster, punchier, more action and less shots of the actual racers. Just super-fast pods ripping around the track with explosions all around.
Anakin Beats Up Greedo - To show his dark side. Subtle use of Imperial March as foreshadowing.
This is as far as I have gone in the edit so far, and I'll probably start over again when I have my better computer back and I can use my higher quality rips and better software.