I think most of us are in the boat now where we utterly ignore levels 1-2 Raids, and only go for Level 3-4 raids for specific Pokemon (Tyranitar, Machamp, etc.), preferring to do Legendary Raids. So what would bring people back to wanting to do Rank 1-4 raids? Even the "powerful" Pokemon (Gengar, Alakazam, Snorlax, etc.) don't motivate me to do a raid - I've only ever done 1 Charizard raid because it was Day 1 and there were 7 people around at the time. Otherwise I wouldn't have bothered; I don't need another Charizard, so I'd rather spend my Raid pass on something I could use right now. Or something interesting...
For me, if the raids had these kinds of Pokemon:
1) Region Locked
2) Ultra-Rare
3) Unown
Region locked:
I'm never going to travel to Asia and Europe while Pokemon Go is active unless my life situation changes dramatically in the very short term, so I am not going to ever be able to get Mr. Mime, Heracross, Farfetcd, etc. They will always be shadowed Pokedex entries for me. So the idea of being able to do a Mr. Mime raid would motivate me to do that raid. I'd even be willing to do a Tauros raid because of how rare they've gotten in the past 6 months. (if I've caught 2 since May, that's 1 more than I would expect; which is amusing and aggravating because I decided I was going to use Tauros as a Defender when the Gyms changed but I got rid of all but 2 low level, high IV Tauros because of how common they were when I transferred them. Really wish I hadn't done that now...)
Ultra-Rare:
Miltank and Mareep/Flaffy come to mind immediately as potential non-Unown Ultra-Rare's that could make for fantastic Raid Bosses. But others that are Rare or Uncommon like Porygon, Scyther, Stantler, Vulpix, Sandshrew, Mankey, Doduo, Onix, Omanyte, Yanma, Snubbull, etc. could make for attractive Raid bosses.
Unown
Imagine Unown being a Level 1 raid. Imagine getting a random Unown letter each time - the letter you saw as the Raid Boss was not necessarily the letter you got to try to catch. How hard would it be to walk by that raid if you were missing some letters of the alphabet? Would that be considered simply a Money Grab by Niantic, I wonder? It would certainly make it attractive to spend 100 coins to buy a Raid Pass to try to catch another Unown if I wanted to catch the entire alphabet...