Aatrox - Released a year and eight months ago - Has received only one update which gutted him
TL;DR at the bottom.
I know there's some apparent worse examples of champions not getting updated in awhile (I've been told Trundle), but really now.
Brief History on Aatrox (w/some commentary)
On release, Aatrox was seen as (and perhaps still is) a pub stomper or low ELO stomper because no one knew how to play against him. Despite being dismissed as nothing more than that, professional players both in EU LCS and Korea eventually started playing him in the jungle. The likes of Cyanide, Diamond, and Aranae would take Aatrox into the jungle, while additionally he would see play in the top lane by Darien, Wickd, and maybe Soaz if memory serves. This kind of exposure would carry on in the Season 3 world championship where he would be picked or banned with some amount of consistency.
Then, a little over three weeks after worlds is when patch 3.13 came around.
Blood Well Passive attack speed changed to 30 / 35 / 40 / 45 / 50 / 55% from 50% flat. Blades of Torment Base damage reduced to 75 / 110 / 145 / 180 / 215 from 75 / 120 / 165 / 210 / 255.
with the justification:
Context: Any champion can be frustrating to play against when they’re capable of building very tanky while still outputting considerable DPS, so we're lowering some of Aatrox’s innate damage. With this change, Aatrox must build items for damage and won’t be able to simultaneously tank and smash face as easily.
This was extremely laughable at the time because there were plenty of champions who were (and still are) able to do this. Renekton, Jax, Shyvana, Mundo, Elise, Lee Sin, and Jarvan IV. Many of these champions could get away with either A. Building one damage item (Blade/Hydra) or B. Straight up free damage in the form of % health allowing them to build even more tanky if their kits didn't already include free stats (Jarvan IV who's just now being recognized in the PBE with armor nerfs, holy hell).
Since then, he's seen some play in the LCS albeit through the gimmick of "unfamiliarity". Most notably, Fredy122 still played him quite a bit during Season 4 in the top lane, and even drew bans on him regularly during Season 4 Worlds. I would say these bans are more "He's a wild card, and we have more important things to focus on in-game than him, so we'll take care of him with a ban." It's basically no different than when Darien would draw Warwick bans, Alliance (now Elements) would draw Rammus bans, and UOL would draw Hecarim bans.
I simultaneously love and hate that Fredy still plays him (although nowadays, not so much in the LCS). People use that as an excuse that he does not deserve an update, but his problems or cons that by far outweigh any of his pros are so very apparent when he is played, whether in or out of the LCS.
Riot on Aatrox
To my recollection, there are two instances where Riot has acknowledged Aatrox in the forums after his one update: One by Morello and another by Meddler.
Morello 02-18-2014 http://forums.na.leagueoflegends.com/board/showthread.php?p=45244229#45244229
We made some big game health mistakes on Aatrox that put him in a problematic spot - there's accuracy in the fact that if he's buffed, he'll be a problem.
We've had some Aatrox changes to solve this (as a soft rework sorta thing) that could fix this, and then let him get back into the game. I'll have to check on the details to see which direction we've taken with it (there were a lot of ideas on the table for it, originally).
Meddler 12-XX-2014 ("2 months ago" because new boards are vague as heck with their time stamps) http://boards.na.leagueoflegends.com/en/c/gameplay-balance/alR9fGRR-can-we-replace-aatroxs-ultimate-steroid-with-an-aoe-fear?comment=000c Meddler's post is a lot larger, but to summarize: He agrees that Aatrox's ultimate isn't as satisfying and good as an ultimate should be, acknowledges that a PBAoE Fear addition to Aatrox's ult has at least some thematic reasoning behind it, remarks on Aatrox as a Tank vs Aatrox as a Fighter, and concludes that his post isn't an indicator that there are upcoming Aatrox changes and that Aatrox is "overall in an ok spot." Apparently the rest of the Riot team who works on gameplay and balance agree with those sentiments as Aatrox has received only one significant change (the aforementioned) since his release (despite some "Aatrox changes" mentioned by Morello exactly a year ago). As it is now, Aatrox suffers from terrible base stats, terrible scaling/late game (AP ratio on his ultimate?), very low impact and unsatisfying ultimate (backed by Meddler), getting kited too easily, bad 5v5 teamfights, and a bunch of other things.
To all those wanting to cite Shook using him in the LCS, suffice it to say:
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Shook didn't need to take advantage of Aatrox's sustain early (where most junglers struggle, sustain junglers thrive) because he had Wickd and Nyph help him with both Gromp and Blue.
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Shook couldn't even take advantage of a sneaky/cheesy level 2-3 solo dragon because of the lane swap.
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Any participation he had in kills, assists, and team fights could have been done better and have had more of an impact with a different jungler (just watch how he's ignored at 14:15).
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Just because he's picked doesn't mean he's actually a strong pick or worth using. Don't oust him from a rework or buff just because he's picked and other champions are not.
Aatrox's problems are still there and Shook highlighted one of them where you do basically no damage if you build tanky and have little impact (contrast with Gnar and Rek'sai). One problem of many.
TL;DR: As it is now, Aatrox suffers from terrible base stats, terrible scaling/late game (AP ratio on his ultimate?), very low impact and unsatisfying ultimate (backed by Meddler), getting kited too easily, bad 5v5 teamfights, and a bunch of other things. Aatrox is a champion that should be re-worked as it's so apparent that his design is clearly creating problems for the balance team (as per Morello), but I think Riot thinks it's far too early for that when so many older champions do deserve the attention. That said, I don't think he should be completely ignored as he has been, and I think his ultimate (as per Meddler) is a good place to start at least. I don't believe for a second that he should be ousted from any sort of update just because he was played in the LCS once this season.

is my favourite champ , but he's not very satisfying to play, his stats are kinda garbage, and u feel very underwhelmed the entire match..