I'm a fan of Fiestaware, which also happens to be made in the USA.

I use Corelle Ware in the microwave. Anything will get hot if the food is hot enough. However, if your dishes are getting hot with little to no food they are not microwave safe. Plastic is another choice, but only if it is constructed to be microwave safe and does not contain any dangerous chemicals.

Edited to add: Antique Fiestaware is not microwave safe and often is mildly radioactive.

On the one hand, I agree that Fiestaware is great in the microwave. On the other hand, I have just a few pieces, and they take up a huge amount of room in the DW because they are thick, so I don't think I'd get an entire set.

I had a bad experience with Corelle, and because of that, will not buy it, though I know people love it. I dropped a Corelle dish, and it shattered into a million razor-sharp shards. Could have easily taken out an eye. This issue with Corelle has been discussed on Houzz Forums before if you want to do a search.

Ikea 365+ is very nice white dinnerware that is microwave safe, is incredibly low-priced for the quality--it's feldspar porcelain--and is flat enough to fit between the DW tines easily. While stoneware (which Ikea also sells) looks nice, in my experience it chips easily, while porcelain is more durable. I also personally like dinnerware with rims because it keeps contents like sauces and juices from sloshing out, especially if you are lifting it out of a microwave.

Ikea makes other more colorful microwave-safe dinnerware too. You can mix and match, and it's all so inexpensive, that if you break one, it's just a shrug.

Ikea 365+ Dinnerware

Ikea Diinnerware

I just recently shopped for new tableware, and after much on line and in store looking, decided on Denby Canvas Blend in Truffle--it's microwave/oven safe and does not get hot in the microwave. Denby is a nice quality stoneware made in the UK.

http://denbyusa.com

There are many other colors/patterns available on their website.

I really don't like the feel of Corelle ware. I love the look of Fiesta Ware-but the shapes of the plates and bowls just didn't work for us.

If you don't mind white/cream, here's the style I bought last year. It replaced my Williams-Sonoma "buffalo china" that had started to become hot in the microwave. So, far so good with this set, and it doesn't have that grayish cast so many affordable porcelain dishes do: http://www.wasserstrom.com/restaurant-supplies-equipment/cream-white-rolled-edge#facet:&productBeginIndex:0&facetLimit:&orderBy:&pageView:grid&minPrice:&maxPrice:&pageSize:&catalogMode:&

I got this set for my daughter last Christmas and she loved it. Said it doesn't get hot in microwave.

The pattern sure isn't for everyone, but I use Lenox China's British Colonial for everyday. It comes in several different sub patterns which I mix and match. It is one of those Lenox patterns that has gold rims but can still go in the microwave. Definitely does not get hot.

Paper plates LOL or styrofoam

I have Hue dinnerware from Crate & Barrel and it doesn't get hot when we warm up leftovers on it (I don't use it to microwave anything for more than a minute or so).

Shenango restaurant ware does not get hot in the microwave. It is becoming hard to find . I have 14 plates which are oven safe microwave safe and dishwasher safe. I have had these plates for 20 years and not one chip. I use them daily. They truly are the best.