My favorite meals at the monorail resorts are dinner at 'Ohana (apostrophe at the beginning, no S on the end), and breakfast at Kona Cafe. Both places are located on the upper level of the Great Ceremonial House at the Polynesian, and can easily be reached via the monorail.
The restaurants share a common kitchen, so it's possible to ask for items from each others' menus, as well as any vegetarian or special dietary dishes you might require. Be sure to note any special dietary needs such as food allergies or vegetarian diners in your party, both when you make you ADR and when you check in at the podium. It may also help to mention it again to your servers when you meet them.
'Ohana
Dinner at 'Ohana is a casual, family-style (all you can eat, but they bring it to you) meal with a relaxed atmosphere, great food, and if you're lucky, a nice view out the big windows toward Magic Kingdom (not all tables have the great view).
There are no characters at 'Ohana during dinner. But there are coconut races and hula hoop contests for the kids, and a live singer who strolls the dining room with a ukelele singing various songs in Hawaiian style.
The meal is very large and is great for big eaters; some folks complain that it's too much food, and they don't like for so much to go to waste, but this can easily be remedied by telling your server at the beginning that you're small eaters and would like smaller portions to cut down on waste.
The meal also consists of multiple courses, which come to your table in separate dishes periodically. Some folks feel that if the next course arrives before they are completely finished with the previous course, that they are being "rushed" through their dinner, but this is not the intent; the servers simply bring stuff out to you in the proper order, as time and their other tables permit. NOTE: Dinner at 'Ohana is not a quick affair; average time for a family of four is about 90 minutes. Even as a solo, I can't get out of 'Ohana in less than 45 minutes.
First up come several appetizers - a Hawaiian style bread, mixed greens with wonderful a honey-lime dressing, honey coriander chicken wings, and wonton chips.
The main course is 4 meats - turkey, steak, pork, and shrimp - grilled over an open pit on steel skewers; the server brings the skewers to your table and slides the meats onto your plate. Along with the meats, a side dish of stir-fried broccoli and snow peas is served.
You can ask for more or less of any particular item at any time during your meal (I always skip the wonton chips because I don't care for them). There are also three dipping sauces brought to your table for the meats. TIP: The dipping sauces are usually brought out at the beginning of the meal, and I find that they go terrifically with the Hawaiian bread that is served as the first appetizer.
Desert is bread pudding with vanilla ice cream, topped with Bananas Foster sauce - an exquisite sweet dish that tops every other desert or sweet snack I've ever hat at WDW.
Kona Cafe
Breakfast at Kona Cafe is also a relaxed, casual table service meal. Kona's menu has most of the common American breakfast dishes, along with a few specialties. The most popular dish, and my favorite, is called Tonga Toast.
Tonga Toast is cinnamon-covered French toast stuffed with sliced bananas. It's delicious and very sweet - I never even put any syrup on mine.
The full Kona breakfast menu can be found here:
http://allears.net/menu/menu_kcb.htm
I highly recommend either of these two meals for a family, group, or solo dining experience along the Resorts monorail line.