I think I can share my thoughts on Thresh. His kit is very complex indeed. It is hard to balance when he has enough utiliity to be useful while healing his enemies anyway. I don't think everything about him is OP, but he is pretty much the jack of all trades when it comes to supports (asides from sustain, that class has been dying in popularity anyway. But he is the closest we have to that jack of all trades)
His passive feels decent, I guess. There isn't much to it, asides from the RNG to get most souls out of lesser minions. I don't think this is OP at all, considering Thresh doesn't even follow his jungler around to get the most souls out of every camp (1 is guaranteed)
His Q is a weaker, but more painful version of Blitz Q. It hurts to see your champion without tenacity getting slowly pulled helplessly towards the enemies who await your soul hungrily. It is relatively easy to outplay and make plays with. I actually find this part of his kit pretty fun and sweat inducing. Not OP, for a kill oriented support.
His W is what ticks me off. Yes, this skill is OP. Always was, always will be. Take the shield away, but the lantern's active will always be a blessing. There is no way around it. I feel like CertainlyT's most creative ability was this one. Its very powerful and has counterplay that requires action rather than items, however, and that is pretty neat nowadays. I feel like it is an acceptable way of OP. There are several OP abilities in the game that can be accepted, because the other parts of a kit have weaknesses (old Veigar's Stun, Tryn's AD reduction, Garen's W passive, resets in general). This skill is OP anyway, and suits supports oriented mainly to protect their carries through laning phase.
About his E... Well, the passive is quite good for a ranged champion like him to proc his relic shield. I don't find the passive particularly game-breaking by itself, its just another thing to add to his overloaded kit. I hate the fact that it is already better than Ashe's passive, but that is Ashe's problem perhaps, not Thresh. This passive suits a poke supp mainly, and would be welcomed by nearly all ranged champions.
The active can be both engage and disengage, a versatile skill. It isn't much to be fair. I still like other supports' CC better. But its active can be used by nearly every support that wants to protect or kill a carry, as well as poke supp if we get the passive too.
His R is... meh. It can't be effective on many supports. It requires mobility to be useful in most skirmishes. It is Thresh's 3rd CC ability, with a huge slow packed in its walls. There are better ultimates as far as I am concerned, but this isn't a bad ult by any means, and can fit diverse playstyles for both agressive and protective Threshes.
TL;DR: Thresh fits many types of support gameplay, actually all of them except sustain, and that is why most teams welcome his presence in their comp. The only kind of team I couldn't see Thresh being among the most wanted in was one with an engage, tanks, CC/mobility to protect squishies and without sustain: Malphite, Sejuani, Viktor, Draven for example. But, asides from W (this thing is very powerful), despite his kit letting him do all those things, his skills aren't really unbalanced, just versatile (maybe too much, but I don't know about that)