ALE: Yes. It does not require adjacency, and defeating the character does not have to be with an attack.

SS: Yes.

Repulse: Almost certainly yes, but wait for swinefeld.

Shields/Crab Armor: Yes, but that's stupid.

Force Spirit: Yes, and this would work even if the Spirit were not living.

Levitation: Yes. It does not target.

Face Your Destiny: No. This targets, even though it ignores almost all of the targeting rules. It doesn't ignore the adjacency part of the targeting rule (so an adjacent enemy prevents you from targeting anyone else), and you can't use it on a Spirit because a Spirit cannot be targeted.

The glossary definition expands this slightly, where it says:

The target can avoid the effect with a save of 16

Thus, it is a targeted ability (and has probably been played incorrectly in the past).

My understanding is that the whole reason Transfer Essence works on a Force Spirit is because it does not say "target," but rather, "choose."

Face Your Destiny (glossary)
One enemy within 12 squares gains Savage until Darth Malgus next activates or or until Darth Malgus is defeated. Line of sight is not needed and cover is ignored, but you can't trace a path through a wall (count around it instead). The chosen character is immune to Empathy and must end its move adjacent to Darth Malgus if it can (if it can’t reach Darth Malgus or an enemy, it moves normally). The target can avoid the effect with a save of 16. This ability is usable only on this character's turn.

Transfer Essence (glossary)
A character using this Force power chooses any living ally, who does not have to be a legal target. Remove that ally from play and place this character in any legal square of the space the ally formerly occupied. That ally is immediately defeated and cannot take advantage of any effects that would prevent that result (such as Avoid Defeat.) This ability is usable only on this character’s turn.

While I do acknowledge that FYD has "target" in the text, the way it is initiated is by choosing a target. So I don't see how it wouldn't work.

Yes, I see nothing in the Spirit definition that prevents it.

With Sith Battle Manipulation can you target a Force Spirit? And if so can you make it walk off of a map?

you can't target it, but if you can target a fig within 6 then you can move the spirit as its a character within 6 squares of the original target. You can then move it into a pit, which might defeat it, or not, i'm not quite sure on that.

as for face your destiny, the actual ability states target

Face Your Destiny (glossary)
One enemy within 12 squares gains Savage until Darth Malgus next activates or or until Darth Malgus is defeated. Line of sight is not needed and cover is ignored, but you can't trace a path through a wall (count around it instead). The chosen character is immune to Empathy and must end its move adjacent to Darth Malgus if it can (if it can’t reach Darth Malgus or an enemy, it moves normally). The target can avoid the effect with a save of 16. This ability is usable only on this character's turn.

whereas transfer essence actually has wording that precludes it

Transfer Essence (glossary)
A character using this Force power chooses any living ally, who does not have to be a legal target. Remove that ally from play and place this character in any legal square of the space the ally formerly occupied. That ally is immediately defeated and cannot take advantage of any effects that would prevent that result (such as Avoid Defeat.) This ability is usable only on this character’s turn.

Thanks, Dave

It would be a save 6. Same thing for Wall Climber, as long as the pit square and the square the character is moving from both have walls adjacent. Flight is an example of an ability that makes it save 6, but any ability that lets a character move through pits makes it save 6 instead of 11. (I didn't realize this until looking it up just now.)

From the glossary:
"pit

A kind of terrain. Pits block movement but not line of sight. They do not provide cover. A character with the Flight special ability can move through a square containing a pit but cannot end its move there.

If a character is involuntarily moved onto a pit square, stop its movement in the nearest square adjacent to the pit and make a save of 11. On a successful save, the character remains adjacent to the pit. On a failure, it is defeated. Characters with abilities that allow them to enter pit squares (such Flight) make a save of 6 instead."


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Edit: I was wrong. See below. "Ignoring terrain" (spirits) is different from "ignoring pits while moving" (flight).

Oops, for some reason, I always thought it was only flight that made it a lower save.

So, guess I have playing this wrong.