I know Jedi Sage has serious traction, because of that delicious boost to all our mental stats, Force power damage boost to a huge level, and it granting You Are the Force. After that? Peacekeeper would be useful for large scale combat powerups via Battle meditation, Healer for more esoteric powerups, Weapon Master for pure fighting power.
Sage is first though. So good.
Sage... definitely has the advantage of Midi-Chlorian Manipulation (which unlocks a questline) and that capstone perk gain. And don't get me wrong - I
really want Anakin to get Midi-Chlorian Manipulation. But I'm starting to lean towards Healer as the slightly more preferable 'consular-side' top pick. It waits a couple levels for Midi-Chlorian Manipulation, but has those effect doublers and the discounter. I suppose it would depend on how much Anakin has a use for those trees, I suppose, and how much he relies on damaging force powers.
Weapon Master is another "first advanced class" competitor. While I incline more towards wanting him to work on Force abilities than saber, unlocking the other exotic substyles is awful tempting (reroll misses, opponent can't attack, strategy rerolls). Discount soon after is nice, and the ability to ignore nullification of a style's abilities against an equal or superior combatant is fairly strong.
Shadow unlocks Force Cloak, which has a rather nice sustain capability - effectively tripling HP. Boosting critical hit damage goes well with Shatterpoint's auto-crits, and immunity to Dark Side techniques is helpful. It's not really a "first advanced class" pick though.
Ace and Peacekeeper are lowest on the list for me - Pilot beats the former for flavor fairly easily (and Ace just gives a ship), while Anakin has the unlocks for the latter already. Free Force Valour 5 (9 ticks training worth) and the doubling of effects
is a bit attractive though.
So it'd probably come down to what Anakin is doing in 6 levels. Does he have an interest in Heal/Resurrect/Valour? Does he use damaging force powers a lot? Does he focus on lightsaber combat? Is he pursuing a long-term Ambition to create and master his own saber style? Or perhaps one to understand himself and his origins?
On the civilian side... Pilot is probably my preference. About that time Anakin will (hopefully) be exploring the galaxy a bit - either hunting ruins or liaising with factions - so it feels pretty thematic. Especially if he gets a living ship?
Professor would be kind of interesting - I mean, Anakin as a teacher would be kind of interesting. And a bit of speechifying wouldn't go amiss. Lord maybe if he doesn't go wandering but instead goes straight to being a general or admiral.