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I only just found the Retribution Phalanx sheet in my Start Collecting! Necrons box, and I was astonished by the "From the Sands, We Rise" special rule. As such, I don't know how well this would work, but I thought that they would be an extraordinarily resistant formation against most armies if used in the following way.

Take as many Retribution Phalanxes as you like (in my case I'm going with 3). For each one, take a full unit of 20 Necron Warriors, and attach the Necron Overlord at the back of the unit to keep him safe from wounds. Each unit of Warriors takes a Ghost Ark dedicated Transport which move by the side of their unit, keeping them pumped full of Warriors. Their Gauss Flayer Arrays can deter units from trying to outflank the Warriors. Behind each unit of Warriors is a Triarch Stalker equipped with your choice of weapon - given the distance caused by the Warrior unit, I'd probably take a Twin-Linked Heavy Gauss Cannon on each to target enemy tanks with plasma cannons or equivalents. The Stalkers give the Warriors +1BS, making them even more effective. The Scarabs can rip into anything you don't like the look of, respawning at the overlord and going back into the fray. If a unit of Warriors does somehow get taken down, they just respawn and keep marching.

The name of the game is Implacable March. Just move forward, shoot at whatever looks tasty, and don't stop. It's a shame there's no 1-3 Monolith formation you could take to Deep Strike around the battlefield to keep the Warriors phasing around the battlefield to problem areas but you can't win every battle.

Well, in a casual game, that would be really awesome and hard to deal with for a lot of people. In anything else, it would dealt with easily. You have no ways to easily deal with SHVs/GCs, Stomps, Deathstars, CC, ext.

I agree that it's not exactly competitive, but I usually only think in a casual play mindset, having never played in a Tournament or anything. A benefit is that it's not like a round 1000 points or similar, so in most point limits you will be rounding it out with some other units. Even just including an Annihilation Nexus or a Deathbringer Flight would help immensely against Super-Heavies and the like. 3 Retribution Phalanxes, each with 1 Stalker, 20 warriors, 9 scarabs and 1 overlord with resurrection orb, plus a Deathbringer flight of 4 Doom Scythes (or 2 of 2 I guess) is a round 2995, only 5 short of a 3K limit. Not too shabby, I reckon, and while still not a hugely competitive list would probably be a surprise to a lot of players, if they're used to a particular tactic, or weapon spam with Str6 AP4 etc.

Okay, so the point of the Ret.Phal is to have never ending respawning units... yet you're doing your best to keep your Warriors from dying? (Ghost Ark, ResOrb, 20 strong).
Those are tactics you'd want to use with a REGULAR unit of Warriors. Here they're not only superfluous, they're kind of hindering you.
I don't quite think this would be playing to this formation's strengths.
Instead, three units of 10, a single Ghost Ark (for the Overlords to ride in), and three units of 6 or 7 Scarabs would be a hell of a lot more effective. Hell, even two formations would be fine. Then you might be able to afford to include more supplementary formations for your army (with Stalkers, I'd recommend Destroyer Cult).