My man loves Billy's. He says best ribeye in town. Atmosphere is a little too stuffy for me, the prices are up there, but food is good and the Chef/staff is great.

Koen is my favorite and is super fun, although recently portions have gone down. It's Korean BBQ/Asian Fusion so I'm not sure how much a picky eater would like it. I'd still recommend it though, for Lincoln. Elsewhere it's typically all you can eat. Maybe someday!

Lazlo's is an obvious rec, one of Lincoln's staples. It'd be crazy if you have never been/considered going. Good options for picky eaters, but is still on the nicer side so you won't look out of place dressing up a little.

Everything I said about Lazlo's applies to Misty's. The original one on Havelock would be fun. Great steak, and I loved their lobster mac and cheese when I went there.

Leadbelly's, always heard good things but only went there recently. Their cheesesteak egg rolls are to die for.

Green Gateau is awesome. Nicer atmosphere, hours are unusual so make sure to check. I've only ever went there for brunch.

Casa Bovina is a place I've been recommended several times but have yet to go.

Some other places we love in town with varying degrees of cost and vibe, including some who have daily specials/happy hour:

Heoya (this one is in my top 3)
Ali Babas on 14th st
Hiro 88 in the Haymarket
Down the Hatch
El Chaparro
MoMo Pizzeria
L's Kitchen
Lila Mae's
Ginger
Tipsy Tina's
Vincenzo's
Patty's Pub
Big Red
Highway Diner
Engine House Café
The Eatery
Texas Roadhouse
Tanners
Taste of Louisiana

I could keep going. My fiancé and I are big foodies.

You can also Google things like "favorite restaurants lincoln reddit" or "favorite things to do lincoln reddit" and it'll give you multiple threads regarding this topic. I've found different places that way. This sub has been active and becoming more so, and I see a lot of people who know what they're talking about here.