1. DA Shattered Ring, as you mentioned, is the top slot. I don't think much more needs to be said about it.
2. Normal ME on Shattered Ring is next, with Rapid Replicators + Memorialist. This is really only 2nd to DA because it has a much more difficult time on average getting extra pops. You don't want Maintenance Protocols in this case because you want to run as few Maintenance Drones as possible. This is what you can do with a couple minor artifacts, an art monument, and some Memorialist buildings.
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I usually take OTA Updates third so that I can consistently resettle almost all my pops from other worlds to the ring for the first 40-50 years of the game.
By the way, the reason why this and other MEs on Shattered Ring are so strong is not just due to the tech rush, but the fact they also have an easy 10 alloy jobs to fall back on if things get ugly.
2.5. I suppose the other two ME types would be slightly below this. RS is especially strong, but way more difficult to optimize.
--- Huge gap here ---
3. Necrophage, Technocracy + Functional Architecture, usually Authoritarian for 2nd ethos. This is faster to get going and more reliable than the same build with Meritocracy. This build is pretty busted in how strong your economy can be with all the extra pops so early, though it does take a bit to learn all its nuances.
4. Void Dwellers, Technocracy + Slaver Guilds. The reason this is stronger than other base empire Technocracy builds is that it has ultra-efficient pops and gets out to much faster of a start with 3 Science Directors almost immediately.
5. This is where things get tougher to gauge, but it's probably ME with Resource Consolidation. Plays the same way as Shattered Ring, but is (obviously) quite a bit weaker. If you're strictly playing vs vanilla AI, it's possible this slot should go to a super-optimized military rush strategy with some combination of Militarist, Authoritarian, and Xenophobe.