For me the most interesting and unique part of Ceveland was this small old church surrounded by 'the stone jungle' in the very center of the city. I cannot be regarded as a Cleveland conoissuer but what else I saw didn't impress me architecture-wise.
Sit in Public Square and...
Sit in Public Square and people watch. That and go see a hockey game. Cleveland has a small team that was fairly decent a few years ago. Cleveland has great architecture. There are several buildings downtown that are worth a visit. Tower City and the Old Arcade are just a couple. The Old Arcade is great to sit and have lunch in on a weekday. There are shops, birds flying around inside, plants and often a musical entertainment.
Cleveland culture can be...
Cleveland culture can be acquired through the careful observation of the Drew Carey show. Of course, if you don't care for the show and/or Drew Carey, then just be yourself and I am sure you'll be fine.
Cleveland Indians/Jacobs Field
Firstly, it is a modern, beautiful, and clean ballpark inside and out. (I've often heard one of the nicest in the nation). Even up high, our view was wonderful; we could see almost whole park, and then the scenic skyline. Tours of the park are also available.
Foodwise, there is a lot to choose from, and vendors are everywhere in the concourses. It's expensive, of course, but they have some eclectic and relatively healthy foods to choose from; not your common ballpark food. There are a lot of activities inside the park for kids and even adults, to enhance the trip. The folks there also like to get the fans involved, as you'll see them showcase a number of activities on the scoreboard monitor. And the guy in the bleachers with the big drum pounds away almost each game. His drumming is part of the experience! Lastly, and helpfully, there's always a restroom nearby.
There's supposedly hardly a bad view in the park, so your wherever your seats are should be good. It's a great experience, so again, I highly recommend it!
Crawford Auto Aviation Museum
Walk through history at the Crawford Auto Aviation Museum in University Circle. Great collection of old cars, trucks and motorcycles, plus period stores and a tour through a beautiful old mansion with a good docent. This is a great museum for people of all ages.