I grew up in Akron, just south, and make it to Cleveland about once a year for the West Side Market and the Brewery, oh, and friends.
Their Conway's Irish is a wonderful beer--one of my favorites, has a smoothness to it that is great. (I know these are not on the "on tap this week" list, but that list may change Friday.)
Their Dortmunder Gold is a very popular beer--I think it's good, but not exceptional; if it were me, I'd skip it. (Of course, if your tongue is growing sick of the strong micro brews, this is a good fall back.)
Their Moondog Ale I recall as being a pleasantly hoppy experience.
You may wish to start off with their Anniversary Ale, which will set you in the right mood, your tongue and mind both abuzz. (Wow, it's a little early for bad poetics.)
They always have beers only available in the pub, which they rotate--ask what they are and ye shall find some good ones.
It's a pity they won't have their holiday ale up yet--that's in my top-five list of beers I would like to have on tap at my home at all times. (Other four: GLB Burning River Pale Ale; Dogfish Head 90-minute IPA; GLB Edmunt Fitzgerald Porter; Budvar (the original, Czech Budweiser).
Their food is actually very good--I enjoyed the brat with caraway kraut the last time I was there; of course it's difficult to enjoy your meal much when you have a trunkload of pierogies and polish sausage in the parking lot from your trip to the West Side Market.
Enjoy your time there; bid my beloved Tribe hello,
parker