Whats your favorite abilities / combos so far?

I'm doing Throw/Pull/Lance, but I'm not very far in yet. But the new Pull is definitely one of my favorite things.

I must have been doing something wrong.. i tried out vanguard type and just the way the combat plays out now i almost barely, if, survived a lot of fights... chances are though i just dont know how to play a vanguard 

Always be charging is the short answer. 
I equipped the lightest shotgun I possibly could and nothing else. Nova doesn't seem quite so crazy powerful as it did back in ME3 so I found myself relying a lot more on my melee (which gives back shields with the Vanguard profile now!) and my shotgun. When I got into tricky situations I'd back away and hold backlash up until charge recharged. 

The whole jump jet/dodge are also a big help for the whole Vanguard play style in general. 

Baring in mind, I played on normal difficulty but I only died three times in the trial; two of were due to environmental hazards rather than combat and one was due to initiating combat I didn't intend to, aha.

Charge/singularuty/lance is my favorite loadout.

Biotic Charge/ Snap Freeze/ Overload.

Even fully specced and with 100% light weapon weight Charge is too slow on the recharge to really keep you alive out in the open. I have to rely a lot on the the Explorer profile's N7 Slayer style phasing dodges to get away from line of sight.

Playing on Hardcore I definitely recommend ditching the Deep Space or starting Initiative armor for something with better buffs and augments! In the vein of DA:I crafting is king.

I'm loving the tech tree, I have Incinerate as a detonator so it can prime and detonate. I have two profiles I use, Engineer with Incinerate, Turret, and Overload. Infiltrator with Incinerate, Tactical Cloak and Overload, I plan on swapping Incinerate with Cryobeam soon.

(Turret is a beast maxed out and powers are sweet with all Angarran (sp?) armor.)

I love using my Elite Controller too, I have the powers on the paddles so I can fire off combos still scoped in and it actually feels more natural, especially with the change of LB+RB to do the center power.

Throw/Pull. Seriously, since i discovered that you can pull those explosive canisters littered all over the place and throw them at stuff i can't drop those 2 skills, I also love pulling baddies in and then serving them with my Krogan hammer, or pulling a dude and throwing him at another dude. Or pulling in more people into my singularity before i detonate it. Or simply just dropping people of cliffs.. fun never ends with those 2 skills.

Backlash is also awesome, especially against anything with sustained fire like the Kett with miniguns(Anointed?). Fun to watch them kill themselves.

Pull/Throw as Sentinel and Incinerate/Overload as Engineer... the classics.

I dont know how far into the game you are (Specifically how many skill points you have available) but i played maybe 5ish hours with Incinerate, Overload and Cyrobeam and for the most part i just annihilated anything i came across, the biggest problem was taking damage as cyrobeam you hold it for awhile and you stick out of cover so tend to take a bunch of damage... well decided to try out a maxed turret with the cyro ammo turret skill, and it makes things easier as they all tend to focus on the turret, it can take a pounding (I unlocked where you stand by it and it repairs and you get a 30% bonus to cooldowns iirc) and also as it primes targets for cyro detonations  

Incinerate followed by a concussion shot is awesome.

I wish that Invasion could be detonated the way Dark Channel did in ME3. Because as it stands, Invasion is hard to justify a slot over combos. Because honestly, Energy Drain + Any Primer power is ridiculous.

I use the drone a lot or the remnant drone you get from peebee. Backlash is a must for approaching enemies in open world for me as its portable cover and overload because force lightning