I'm probably a little biased because I can walk to Buckeye (and then stumble on home), but it is easily one of my favorite restaurants/bars in the Cleveland area. Their beer selection is fantastic, even though I can say that the Buckeye beers themselves have never impressed me. You have to love a place that has a several page long beer menu (that's the bottles, they have probably 20-25 on tap). They take their beer seriously, and have 2 cask beers most of the time as well.
The menu isn't huge, but everything I've had is fantastic. As someone who doesn't eat a lot of meat, I love that for any burger, you have the option of a regular hamburger patty, chicken, or a black bean burger. The chicken is decent, but I love the black bean burgers. The West Side burger, with cheese, onions, a pierogi, and some sour cream is a favorite. I prefer to swap out chips in favor of their onion rings. While you tend to only get 4-5 in a serving, these aren't your wimpy frozen onion rings from a drive-thru. These are HUGE sliced up recently onion rings. I can't finish a full serving typically, but they're the best onion rings I've ever had.
Sure, it's bar food and not the fanciest place, but I love it. The decor is fun, and the patio is a personal favorite come summer time. There does tend to be a wait, especially on weekends. I've always had stellar service, even when the place is super packed. They also occasionally do special evenings (the Southern Tier event a year or so ago was amazing - beers paired with a large meal with several servings), check those out if you can. When it's busy it can also get super loud, so maybe not the best romantic place - but that depends on how you define romance (for me, this totally works because we can geek out over beer).