The stages in the "Obvious (Insert catergory here) stages" are accurate and I don't see much point in discussing them as they are pretty much universally approved to be in those catergories, the boarderline stages I think would be good to get some discussion on.
As theres no stage threads on, and I'm not in the EBBR I might as well add my general thoughts here, and move them with additions in more appropriate threads when created.
Brinstar - This stage is a bit of a grey area for me, the main problems I think are the close boundaries and the lava, but I'm tending more towards counterpick. The lava can cause a few issues, but its really obvious, and doesn't do anything really stupid like grant one hit kills, Also, as most characters have good recoveries (yet not all) it can serve as a nice counterpick in some cases. Close bounderies just add it to more of a counterpick stage if you ask me, I don't think this stage promotes any bad stratergy.
Corneria - I've never thought this to be a good stage, even in melee. It aids campy gameplay with the ledge in the middle of the stage, as well as it being easily abusable by some characters such as mk. Lasers from the airships also dont help, as they break momentum, which isn't fair for the person who put the effort into controlling it.
Frigate Orpheon - I think this stage is definately a counterpick. There are only really three features worth looking at here, the ledge you can't grab, the random platforms near the boundaries, and the rotation. The rotation isn't an issue imo, it's pretty obvious and easily avoidable. The lack of a ledge on one part of the stage, while it can be annoying, is just something you need to consider when playing on the stage, its the same for everyone. True, Olimar may find it a difficulty, but that's what counterpicks are for, its not like he can not make it back, its just harder (although the moving platform does help on occasions). Finally theres the random platforms that can save you near the edge. These can be a bit unfair, but so can randall in melee, and the platforms on yoshis in brawl, and they are good stages.
Jungle Japes - I've thought of this more of a dodgy counterpick. The are many ledges, which can promote ledge abuse, but that fish (can't remember name) will normally end up getting you if you hang around the ledges too much, the would be your own fault. Otherwise you shouldn't really get hit by the fish. The water is an issue but it just means you have to recover different, if you land in there you would probably have ended up dying anyway. Also theres a high ceiling if I remember correctly, but that just makes it counterpick.
Luigi's Mansion - I feel quite strongly for banning this stage. While projectile campign isnt as useful here, other forms of unskillful tactics take hold, particularly for snake and mk. It also allows surviving to huge percentages with correct DI and teching. Which really slows matches down.
Norfair - Another stage I feel quite strongly towards banning. The lava can be annoying, more so than in brinstar, already causing multiple issues, but my major problem is the mass ammounts of ledges. This allows for unskillful ledge abuse, such as planking. While planking isn't normally a major issue (lets not go into this debate) in norfair, it is far too viable, among other ledge abuse.
Raibow Cruise - Perfectly acceptable counterpick imo. The only thing about this stage is that it moves. However it moves very slowly and is not random at all. It has very little in terms for other things which could make it banned, apart from possibly wall infinites, which should be banned as it is. This makes it a good counterpick for certain characters, and rewards players who know the stage, which is what its all about.
Pokemon Stadium 2 - In its neutral form, this stage is good, however, its transformations are terrible. All of its transformations are bad enough to completely disrupt gameplay, the ice part even increasing trip rate. This stage is an obvious ban imo.
Distant Planet - Another unsure stage for me. The centre is fine, and the creature that appears on the right barely effects gameplay, its mainly the flowers and left edge. The left edge can encourage camping, looking for back throw oppertunities. I know the water can push them back, but that doesn't add much. Also the flowers, while not a major issue, cause of how little the do, are still random items.
Green Hill Zone - Obvious ban imo. Walk off edges for characters like d3, or back throwing for kills. I know its not too bad compared to other stages the only reason other stages with walk off edges aren't banned is cause walk of edges are not there all the time. Also, the breaking floor can really kill characters with not amazing recoveries.
Pictochat - While not 100%, I'm much more in favour of banning, simply because of the random alterations to the stage. The can cause some random annoyances, either breaking momentum, or randomly killing people out of nowhere.
Pirate Ship - I think this stage is ban worthy. Its annoyances are on par if not worse than those of pokemon stadium 2. Not only that but it has a stage effect which can quite easily kill people, and its not the slowest thing ever.
Yoshi's Island (Pipes) - This also has an issue with the edge, but I'd compare this to a slightly less annoying version of Green Hill Zone, as there is a less effective edge, and a less random hole in the middle. While I think its done to opinion, I'd ban this one.
Mario Circuit - Outright ban it, characters like d3 can just dominate with its chain grab against most characters, and the cars dont do much to break it up. This stage becomes more about camping and chain grabbing than anything. Also, the cars don't help make this stage good.
Onett - DI, teching and camping can really ruin this stage, so my vote is for ban. Cars don't help this stage either, even if they are of little threat.
Port Town Aero Dive - This may surprise people, but I've always thought this stage to be not as bad as people suggest. Don't get me wrong, this stage isn't great, but a "maybe counterpick". The only truely random thing here is the cars, which can often be avoided by observing when they are coming, or just not standing on the floor. The lack of ledges do hurt some characters, however so did the lack of edges in mute city in melee, it just adds favour in the counterpick, like most counterpicks do.
Skyworld - Easily a ban imo, I really don't understand how skyworld has gone this far without being a definate ban. Every platform can be easily teched, at pretty much any time, allowing games to last long times, encouraging a form of camping. The breakable floors also ruin this stage.
As a side note to my posts, I would like to say camping in itself is a tactic which can be used, and in itself, not worthy of banning stages. Stages mentioned for banning because of camping are because of undeserved positional advantages, allowing players to camp.