I own a condo in Breck. My place is at the south end of Main St (Main & Park Ave), so I'm most familiar with places on the south side. A lot of my recommendations have been discussed already; Breck has an abundance of places that I'd rate 4 or 4.5 stars.
-Breakfast: (1) Columbine Cafe is my favorite; usually get huevos rancheros or burrito & then eat some of my kids' pancakes or french toast. I've enjoyed everything I've tried. (2) Daylight Donuts: I really like this place; nice assortment of donuts & amazing/huge bearclaw (very different, like strawberry flavored); their hot breakfasts are really good too. It's cash only & gets really crowded around 7:45 or 8:00 usually. (3) Cool River Cafe is a 1-minute walk from my place, so we eat here a bunch: love their egg/bagel sandwiches, very good pastries, and have a nice assortment of coffee, lattes, and hot chocolate. 4) Park & Main: only been twice for breakfast, but it was good (think I had burrito both times); (5) Blue Moose: I've never been but always hear good things.
-Burgers: (1) Empire Burger is my favorite; great burgers, some tasty sauces for fries (barbecue ranch & jalapeno ranch are my favorites), cheesesteak, milkshakes... it's all good. (2) Ollie's: great burger in a dirty/loud/fun pub. (3) Stella's Hungry Horse: shack on North side of town; very good burgers & good hot dogs and sandwiches.
-Italian/Pizza: I love Giampetros, as well as Michael's. Both have really good pizza & I give edge to G's. Entrees are really good at both. Michael's is much bigger. Fatty's is good too & a good place to hang at night.
-Mexican: Mi Casa is the best in Breck (in my building too). Good place for happy hour & food is pretty solid (I grew up in the Valley & am picky about Mexican... I think Mi Casa is pretty good). I believe Oscar's is the other place I like. Good tacos, great beer, whiskey, and tequila selection (they sometimes have Pappy but crazy prices).
Cajun: Lost Cajun. I'm not a huge Cajun fan, but it's probably the best I've had outside TX/LA. Very good and popular.
-Sandwiches, etc: (1) Park & Main for snadwiches; (2) Crepe Stand on Main Street; (3) highly-rated Czech place near Empire Burger but never been.
Steak: Hearthstone is the only steak/fancy place I've been in Breck. Very good.
BBQ: Moe's- decent if you're craving BBQ.
Breweries: Broken Compass is about 5 minutes from Main Street; some great beers. Coconut Porter, brown, and their seasonals are impressive. Breckenridge is pretty good, and so is their food. CB & Potts opened a few months ago; pretty good beer & bar food. Apres has a good beer selection, as does Kenosha (Kenosha's food is pretty good).
WILD CARD: There's a food hut 30 yards from my place. If you go 30 yards right on Park Ave from Main (at south end of Breck), you'll see it. He opens late usually (between 5-8 pm depending on time of year); his name is Blake (aka Red). One of the best gyros I've had (Rusty style if you want spicy; he adds sriracha & jalapenos), and really good pork street tacos and a couple other things.
Coffee shops & sweets: Cabin Coffee Company is great & a good place to hang out. Kava Cafe has great coffee drinks, as well as amazing mini donuts (taste like funnel ckaes... I've heard their burritos are good. Mountain Mary's Cookies is in our rotation every time we go to Breck. Clint's has great ice cream (from Lik's in Denver) and other desserts.