Long time reader, first time poster...from Cincinnati.
Goetta is a wonderful thing. Had some for breaskfast today.
Generally, you don't find it in squares, you buy it in the store in 1lb rolls, almost exactly like breakfast sausage (the bulk that you'd fry as a pattie, not the links)
The picture Michael put up is a very poor one, in my opinion, for goetta. I need to get me a digital cam so I can drop off a better rendition :-) Now, everyone likes it diffrently, but very few I know of like it cut as thin as shown, and certainly not fried to a nearly burnt crispiness as shown. You generally want a somewhat crisp golden brown exterior, and the interior is somewhat creamy and spicy at the same time, on slabs cut maybe 2x to 4x the thickness of that shown. A bit thicker than your average sausage patty, I'd say.
When in Cincinnati, culinary wise, I'd say there's probably 5 things worth trying. (We have a 5-star restaurant here as well, but I don't think it has anything uniquely Cincinnati-ish about it.)
1) Breakfast goetta. Can be eaten anytime, and we even have a goetta festival here where it's used in all kinds of recipes, but its 99% eaten at breakfast.
2) Aglamesis ice cream. Others will say Graeters.
3) Cincinnati style Chili. Make sure you get both a coney (chili dog topped with shredded cheddar cheese, onions and mustard optional) plus a three-way (spagetti topped with chili and the same shredded cheddar cheese. You can add beans or chaopped raw onions to make it a four-way, or both makes it a five-way.
4) LaRosa's pizza. specify extra sauce, the sauce is what makes this pizza special and the tend to go light on it of late.
5) Montgomery Inn Ribs. Go with the pork ribs, although the beef ribs, chicken, and duck are all good choices if you can make return visits. Don't forget to get saratoga chips as your potato choice.