Little Rock Tips:

Little Rock is a pretty small city for being a state capital, you can easily walk all of downtown and don't need too much time to take it all in
There are some sketchy areas of Little Rock so just be aware of your surroundings and make smart choices
Check out my guide to Hot Springs, Arkansas which is just about an hour away!

Adventures & Ales Top Recommendations:

Lost Forty Brewing: This was my favorite place in Little Rock!This place has seriously good beers, a solid food menu (including brunch on Sundays!), and a fun atmosphere
Flyaway Brewing: Located in North Little Rock across the river, Flyaway has a ton of different pretzels and dips (hello key to my heart), along with fun new beer releases all the time
Pinnacle Mountain State Park: Definitely somewhere you need to drive to from downtown, but worth it! A rigorous climb up the mountain with great views from the top. Beware, you're literally climbing over boulders, but it's very cool!

The Classic Tourist Spots Actually Worth Visiting:

Little Rock Central High: There is a mini-museum right across from the high school to learn about the history of the Little Rock 9. The high school is still a fully functioning school so you can't just wander in, as a heads up, but go to the museum and check out the outside of the school
Clinton Presidential Center: Arkansas LOVES Bill Clinton. It's kind of adorable how idolized he is across the state. His Presidential Center is nerdy, but really interesting to explore!
Walk the Junction Bridge and explore the River Market District: The Junction Bridge is an old pedestrian bridge that lights up at night in fun colors. The River Market District is the area right around the bridge with a park, the Arkansas River Trail, and--you guessed it--a market!

Other ideas:

At The Corner: Brunch it up at this restaurant, you guessed it, at the corner. Beware, folks line up around the block to get in!
Rebel Kettle Brewing: Right around the corner from Lost Forty, Rebel Kettle has a nice outdoor patio to enjoy a nice day on
Vino's: Pizza brewpub! Yum! Semi-isolated from the rest of the city, not in the best neighborhood, but yummy.
Stone's Throw Brewing: Lots of beer options, outdoor space, and a food truck that lives in their parking lot.
Diamond Bear Brewing: They get a lot of praise for a pretty average brewery, but it's worth popping in while in North Little Rock

Skip:

Core Public House: I've never had worse service in my life. The bartender was drunk out of her mind and had no idea what she was doing. I'm sure they have other, better employees that would make your experience better, but they also had mediocre beer.
Mug's Cafe: Overpriced below average coffee shop in North Little Rock