Amumu, in his current state will never be meta or viable.
Amumu's lore says anything he touches turns to ash In game it only takes 50-100 seconds to do that to ANY champion (just using W) There's also the mana cost per second making sure you can never do that
I often hear about this whole concept of a power budget, but it seems Amumu only had a budget of about ten bucks whilst other champions have it upwards of a hundred.
I understand Amumu is meant to be a tank But so is Malphite, Shen (to an extent), Blitzcrank, Maokai, Braum, Tahm Kench, Sejauni, Cho'Gath, etc And all of those out preform Amumu, be it damage, CC or over-all gameplay
Tanks are designed to take damage for their team. However, in the case of League Of Legends where the opponents are actual humans and aren't scripted to attack tanks, or whatever draws aggro first like in MMO's, players have a choice to ignore tanks to attack the squishies. Riots way to combat this was by making Tanks have frequent CC or mediocre damage out put (thus the tank meta) However, Amumu has neither, he has two CC's in his kit, a stun and a root However, both place him in danger whilst other champions, such as Lux, Veigar, Varus, Jhin, Jinx, Braum, Yasuo, Cho'Gath, Tahm Kench, Sejauni, Blitzcrank, Maokai, Thresh, Ornn etc can do the same, with more damage, and no danger. Amumu's stun requires himself to place himself into the enemy team, and hope that his team follows up. Because whilst there, he can only stroke the W key, and hope for the best, maybe pressing R. He has no escape, until seven seconds pass where he can use his Q again, and even then, that HAS to effect an enemy champion, possibly placing him back into danger. Amumu's job is to walk around and simply exist. He's like Lucio from Overwatch but a lot worse.
Then let's talk about his passive Some champions have 10% max health damage on their passive Some champions have a CC on their passive Some champions have two passives on their passive (yasuo)
And then there's Amumu Basic attack a champion to make them take 10% more true damage from Abilities Is this it riot? Fuck me.
Let's talk his W The whole walking around idea is horrid. He does 1% to 2% max health (Scaling to AP by 1%) to enemy champions per second. In most cases, Sunfire Cape does a better job than this. Sunfire Cape, an item any champion can buy. Does better than an actual champions core-kit. Let that sink in. If you're going up against an ADC, 2% is around 30-36 most times, Sunfire cape sits around 40 damage a second. But let's compare it to other champions that does percent max health damage. Whilst I understand these champions (such as Vayne) has their whole kit around doing damage, there's a large difference. By the time it takes Amumu to do 10% Max Health Damage, Vayne has already done ~36% (not including the damage from her actual auto attacks).
So let's actually look at the only ability that benefits him as a tank.
Tantrum: Permanently reduces the physical damage Amumu would take. Amumu can unleash his rage, dealing damage to surrounding enemies. Each time Amumu is hit, the cooldown on Tantrum is reduced by 0.5 seconds.
Amumu takes 2/4/6/8/10 reduced damage from physical attacks. Wow, I sure am glad that I'm taking 2-10 reduced damage out of 1k auto attack bursts Thanks riot. For this to negate an actual auto attack (let's not go an ADC like Dravens or Vaynes auto attacks that do 1k-2k damage), let's base that auto attack damage at 500. I would have to be attacked 50 times. Or if for 1k damage, 100, if for 2k damage, 200. Come on now.
His ultimate WOULD be a good ultimate. If it wasn't on a hundred and twenty second cool down base.
Amumu is in a serious need of a re-work (please use that yordle mummy vgu) or a MASSIVE buff. Because right now, he has no identity, and in his current state, he never will.
Whenever I get Amumu in ARAM, and I don't have a reroll left (mostly because I spend them on rerolling off of amumu), I can already feel the blood drip from my arms.