Well the other issue is the vast majority of what's popular in video games ... are violent action games or sports sims.

Nintendo's been virtually locked out of the console market by relying on Disney style fare and the handheld market is being eaten alive by mobile. So if I'm Disney I'm probably not all that interested in getting any more involved in gaming that they already are. 

Besides their film/TV business is killing it, unlikely a game division would even come close to be anything but a foot note. 

Aladdin by Capcom is the first game that came to mind.  One of my favorites!

Disney always tries to cater to the largest market as possible regarding age ratings (ESRB, PEGI, etc) and post the "glory" (or at least better) days of licensed games in 5th gen that has proven to be very difficult for them. Licensed games aimed at children don't sell nowadays compared to the healthy sales on PS1 of Disney's Tarzan, Disney's Hercules, Disney's A Bug's Life, etc.

Nowadays, you might as well ignore the age rating and just make your game/movie the way you want to because the majority of the mass market will play/see it regardless. For instance games like Call of Duty and movies like Deadpool are very popular among people younger than the recommended 17 years of age.

Disney had an admirable run with these wannabe mature games with an age rating of 3/7/12 and some of them were rather expensive like Split Second: Velocity, Pure, Pirates of the Caribbean and Tron: Evolution. But it didn't work out.

Though, I do think Disney will give it another go after they've seen Warner's success being a no name in the games industry a few years ago to being 2015's 3rd most profitable publisher following EA and Activision Blizzard thanks to games like Batman, Mortal Kombat X, Dying Light, Mad Max and Shadow of Mordor that've sold to a large market in spite of their mature age rating.

Disney has already expressed interest in a bigger role in the console and PC video game industry but in order for that to happen they'd have to improve their ability to attract great developers and they'd also have to cater to 1 specific market with each game. Mature looking games rated E for Everyone rarely sell that well.

They make so much money from movies and other things like theme parks so investing in it would be difficult

Theoretically, that's true. But as history tell, Nintendo isnt good with 3rd party. Because if they were/are, Kingdom Heart I and II would be exclusively for Wii. But it's for the PS3 instead :P.

That's why i said, Disney could be a big threat 4 'em IF they're not a 3rd party, becuz in general, any 3rd party is beneficial for every console/handheld/Smartphone/PC companies, not just one.

And so far, Valve Corp is the one that enjoyed the most thanks to Steam.

It's sad that Disney doesn't care about console games, there's so much potential there with the number of franchises they have. Just imagine something like a Big Hero 6 open world game where you can fly above the city like in the movie... the possibilities are endless =P

Like others have said, have you not heard of Disney Infinity? Rocks do not make good homes.

In short... because they realised they suck at it.

I would think because there isn't enough money to be gained from that market.

Pretty much, they are going to make more profit from liscense agreements than they would be self publishing.