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HQ
Necron Overlord with Warscythe, Mind Shackle Scarabs, Sempiternal Weave, Phase Shifter, Catacomb Command Barge

Royal Court:
Stormtek
Stormtek
Despairtek

Troops:
5 Warriors w/ Night Scythe (1 Voltaic Staff in here)
5 Warriors w/ Night Scythe (1 Voltaic Staff in here)

Elites:
5 Deathmarks w/ Night Scythe (1 Abyssal Staff in here)

Heavy Support:
1 Annihilation Barge
1 Annihilation Barge
1 Annihilation Barge

ORK ALLY HQ
Big Mek w/ KFF

Ork Ally Troops
17 Ork Boyz w/ Nob with a Powerklaw, and a Big Shoota (17 bodies total)
17 Ork Boyz w/ Nob with a Powerklaw, and a Big Shoota (17 bodies total)

I am looking for some feedback for this list in the most competitive environment.

The Voltaic staffs provide me with an out to AV14, and otherwise simply help the the Tesla Destructors take out light armour.

The Death and Despair squad helps me take out monstrous creatures or a squad on the field that I have to get rid of.

The Orks provide a huge blob on my objectives, or are able to advance into the mid field with tons of shots under a 5+ cover save with a ton of shots.

The Necron Overlord is beefed up so that I can send him into Riptides / MCs if needed to try and win me the game for a rather desperate measure.

What lists do you think this will have trouble against apart from the 2++ rerollable screamer unit?

Really like this list, the 3 barges and Deathmarks with Abyssal Staff is particularly frightening.
The orks are a nice twist, and will provide a much need bulk to your army!
Overall, a very solid list!

I'll put my head above the parapet, which is dangerous as you have shooty things.

Your anti-AV14 stuff is tie up in reserves and can not be relied on early in the game. It also means your objective snafflers have to pop out of their flyers sooner than you want. The Annihilation barges are low range as is the remainder of your army and you could easily find your self serious out gunned (say if your facing 3 LRBT); out deployed if you go first (you would have to deploy to take on most of the board to keep the ABs in range to prevent an elitish opponent from castling up against a small bit of your force before you can get the rest into play) or out manouvered before the flyers turn up.

You could do with some objective sitters to give you a chance of keeping one in your half and giving you a fire base. Something along the line of a small warrior unit being baby sat by a load of lootas or big gunz(for range) and a stalker, looted wagon or killa kans for good measure.