I've been to Disney countless times growing up until current, but my husband was a first time visitor last year so I will base my recommendations to you off of his feedback (and he's very hard to please!)
Resorts:
For breakfast, we highly recommend BOMA (AKL) and Whispering Canyon Café (WL). BOMA will treat you to buffet style African inspired dishes while WCC is more traditional; however, each is a great experience. The African ambiance in BOMA is very immersive, and WCC is interactive and great for kids (with a great view of the beautiful WL lobby). You can't go wrong with either.
For lunch or dinner, our hands-down favorite is O'hana at Poly. If you plan accordingly, you'll be treated to Happily Ever After while you dine, which really makes for a magical experience. The all-you-can-eat aspect is pretty great too.
For a fun experience for the whole family (especially for those with a sweet tooth), visit Beaches & Cream at BC and order the Kitchen Sink. There is enough ice cream and desserts crammed into a literal sink that makes a cool (no pun intended) challenge for a family of four or more to take on. I LOVED it - one of my favorite WDW memories!
Parks:
At MK we frequent BOG. It's worth the hype and good to experience it at least once! If you plan on going late morning (11:00 am or so) you'll be able to have lunch without having to fight for a reservation. We've dined in the West Wing and the Ballroom and both are fantastic. Be sure to set aside some time to walk through and take pictures as it is well worth it.
HS has one of our all-time favorite spots - Sci-Fi! While the food is nothing noteworthy aside from their amazing milkshakes (think traditional American), the experience is phenomenal. There's nothing quite like stepping back in time and eating a meal in a 50's Cadillac at a drive in!
EPCOT is basically our go-to park and we have loved every restaurant we've tried (putting aside F&G and F&W, which comes highly recommended as well if you travel during one of those times). San Angel Inn is another favorite spot of ours because of the ambiance (can you tell we like atmosphere with our food?) and because it's arguably one of the most romantic restaurants on site. Tokyo Dining offers great sushi and seafood options with a good view of the lagoon, and we were pleasantly surprised by Nine Dragons as well.
We have yet to try any of the restaurants at AK.
Downtown:
For sit down, STK is our uncontested top pick. We LOVE the quality of their steaks as well as their delicious sides (my husband covets their sourdough bread and butter appetizer, and I could kill for their mashed potatoes and sweet corn chowder). We make it a point to dine here for special occasions as it is on the pricier side. As a second choice, we thoroughly enjoyed Homecoming for their unique menu and awesome chicken and doughnuts.
For quick bites, Blaze Pizza and D'Luxe Burger have never steered us wrong. Both are moderately priced and have us coming back each time we visit as we just can't seem to say no.