Basically the above two answers tell you that in most cases we think the two parks you should visit are Hollywood Studios and Magic Kingdom, which is to say we think you should skip Animal Kingdom and Epcot on a two day, no hopping trip.
Magic Kingdom has the most attractions of any park. You can see and do a lot in 1 day, but for an even more relaxed experience, 2 days will be better. This is also a great park for Genie+, and if it is in your budget, we definitely recommend you purchase it.
You can absolutely do this, but you won't get to go on most of the good rides. Animal kingdom is only a half day park anyway, so start there and then do Magic Kingdom after. For the next day I'd start early in HS and then take the sky ride thing over to EPCOT.
Whether you are in Orlando for a short trip, or your preferred destination is one of the biggest theme parks in the city, it is possible to enjoy Disney World in 2 days.
EPCOT is arguably the least family-friendly park at Walt Disney World, so you may not need more than a few hours to do everything of interest if you have small children. With that said, a full day at EPCOT is highly recommended for first-timers.
How many Days at Disney World for Adults Visiting EPCOT? As discussed above If you're visiting EPCOT and looking to take advantage of all of the unique food and drink options we recommend two full days.
A Magic Kingdom itinerary is simply a must if your family only has one day at Disney World. The main reason being the Magic Kingdom Park is by far the most-visited theme park in the world.
Off-peak times fall around January, February, September, and early November. Discounts on vacation packages booked directly through Disney (which combine park tickets and hotel stays) can be found year-round, though they're most common at these less-crowded times.
Full day park if you want to do everything & savor it. With good crowds, and doing almost everything, Animal Kingdom is like a 85% of your day park. Magic Kingdom is like a day and a half park.
For that reason, we recommend devoting a minimum of a full day to each Universal Orlando theme park, especially if this is your first visit. Three days is ideal, particularly with a park-to-park pass, as it will allow you to fully explore each park and revisit your favorite attractions.
Definitely Magic Kingdom. The only caveat to that is if ROTR is a must-do for you, you might want to build in some flexibility to park hop as necessary - that way if your DHS day is a bad ROTR day, you'd have some flexibility to go back in the morning, maybe on your Epcot day for example.
EPCOT is one of the biggest parks of all and takes a whole day easy. The illuminations at 9pm is worth staying for. AK is also fairly large. The up and down is, you could do it, you will lose around 1 to 2 hours going between parks and you probably wont see 50% of what both parks offer.
Between the rides, stage shows and other entertainment, there is a ton to see and do at Magic Kingdom and the pressure to experience everything can be anxiety-inducing, to say the least. Admittedly, to truly see and do it all at Magic Kingdom, you do need to spend at least two days.
Take It All In (7-10 days)If you want to see all the parks have to offer and still have plenty of time to relax, a week or so might be the perfect amount of time. You'll have the ability to spend one full day in each park — and maybe even a second if you discover a favorite!
EPCOT is Disney World's theme park at which you will do the most walking! For example, it is roughly 0.85 miles from the front entrance of EPCOT to the rear of the park.
That's not to say one is just for kids or just for adults. There is plenty of fun stuff for kids to do at Epcot! And adults can definitely enjoy Magic Kingdom too! But if you are looking for a more grown-up vibe, then you'll want to go to Epcot.
It really is a matter of personal choice. If you are wanting the more traditional theme park, then AK is the right choice. It has fewer offerings than Epcot, but they fit into the traditional mold better, and has more thrills. It also is much more kid-friendly.
Is Epcot fun? For the right visitor, yes. If you're into rides more than general theme park merriment and atmosphere, we suggest skipping Epcot, as it doesn't offer as many thrills. However, families, foodies and world's fair enthusiasts will likely enjoy their time at this concept park.
In general, you should think of Epcot as a two-day park. There's so much to see and do that you really need a couple of days to enjoy everything without feeling like you're rushing through the park. But we recognize that most people can't or won't give two of their precious days at Disney to Epcot.