Well for platforms that are still getting regular releases, I have a Wii U, 360, PS3, 3DS, and 7 year old PC (runs Skyrim, so it works for me). Also, I haven't used Xbox live in 4 years and never play online on PSN anymore. There's your warning if I display an bias or forget something.
PCs do have the reliability issues. Compatibility between different hardware configs has gotten better, but the are still problems that pop up. Some games don't have proper controller support (when the game could easily work on a gamepad), some games don't let you remap keys/ gamepad buttons. Reselling games is now unheard of in the PC world (and it took years for Steam to make a real refund policy to match the competition). Oh, and you might need multiple accounts (which is more to watch for ID theft) if you want games from different distribution services. Also, some publishers still think DRM that hampers (or even harms) our computers and gameplay is necessary.
Wii U has some big negatives. Third party games is the big one. The difference in architecture between the Wii U and PS4/Xbone/PC also means ports among the Wii U and anything else are extremely rare. The Wii U is for Nintendo games and maybe the ultra rare non-Nintendo game, if you can find a worthwhile title.
The touchscreen gamepad is both a plus and a minus. It offers more flexibility in game design, but it means more thought has to go into games. It's another under-utilized piece of hardware that adds to the cost of ownership.
I got a Wii U right when it seemed to be picking speed, last November. Now it seems like Nintendo is giving up on it early. Whether that's true or not remains to be seen, but Nintendo has been quiet, even more than usual for them, when it comes to Wii U.
The built in flash drive size is poor, even by 2012 standards. They could have made it 64GB and 32GB, or even 32 and 16, but they had to go with another cost cutting measure. 32GB is straining it for a full Wii U game download, and 8 GB is laughable. The limited size might be why they've hesitated to put any other GC/Wii games on the eshop. I don't feel like adding an external drive onto my system, especially when I bought the "deluxe" set.
360 Early in its life, the 360 had way too many proprietary overpriced accessories. Memory cards in the USB flash drive age, charging cables with a custom plug on one end, hard drives, $100 Wifi adapters. Its slogan should've been "I'll nickle and dime your ass." Live also continued to collect money (even require Gold accounts for features that were free on Sony and Nintendo's systems *cough*Netflix*cough*). They even brought Sony in on the fun with the PS4.
They at least phased out the mem cards, included 4 gigs of built-in flash memory in later revisions and included Wifi in the Slim. There is also a way to get certain models of bare (i.e. cheaper) HDDs to work in an empty 360/360s HDD caddy.
I'm also one of those weirdos who liked the original blade UI over all of the revisions MS has done over the years.
Though, this doesn't affect me, but now some games require installs. I got the original 20GB HDD. I doubt I'd have enough room for more than one game even if I did get rid of old stuff. Some also might not like multi-disc games. Those remind me of the PS1 and 90s PC days.
The RRoD also says "hello."
PS3 The PS Store is getting slower and slower on PS3. The mandatory installs on some earlier games were slowwwww. The Blu-ray drive cut out multi-disc games, but its read speed means either slow loading or required installs on some games. The PS3 also didn't have much to play for the first couple years. I can't think of any more points right now, but don't let this short list make you think I favor the PS3 over the 360.
Consoles in general have become more like PCs since the start of the last generation. I've already said some 360 now need a HDD some people might not even have, meaning it's the PC philosophy of "upgrade or don't play." Every system now asks to update. Mandatory installs are on the two big boys. The uninformed don't know why they need 32GB, 500GB, or 1TB, or what those even mean. Before it blew up in their face, one console maker even tried to put in the always online DRM from the PC, the type of DRM that hurts paying customers the most, PC players already voiced their hate for and has been avoided by most PC publishers after it proved to be a sham. Put a disc/cart in and play is becoming a thing of the past. (I know the PS4 has that install as you play feature.)
The power of this console generation is also weak. Games aren't meeting or are making sacrifices to meet the 1080p and 60fps buzzwords the industry was throwing out. Who knows if it will last for more than five years. The leaps in graphical difference are also getting smaller. It wouldn't surprise me if they tried to extend the next generation by making the consoles with upgradable modules, kind of like the N64 memory expansion. Someone might even try to make a streaming only box/service (which scares me a lot) and see if the market is ready for it.