There are several US cities named 'Bagdad.'
Baghdad
It's not a perfect rhyme, but it is a "close rhyme". A perfect rhyme would be "us" and "muss".
Nope.
PhoeniX, Arizona
Frandenstein, Missouri
No there arent
There is a Springfield in every state.
lydia
Bayonne, New Jersey; Berlin, New Hampshire; Bear, Delaware and Boston, Massachusetts are cities in the northeastern part of the United States.
There is a huge list of such cities, any city that was and is in another country
Grad is a Slavic term meaning town. Upon my research, I haven't found any US cities ending in -grad. This may be because the US does not have a significant Slavic culture.
Us rhymes with bus cuss truss plus russ huss etc. Harms rhymes with alarms farms warms etc. Harms us rhymes with only those that rhyme with us though any of the second list in addition with any of the first list will rhyme with both words together (such as farm's bus)