I have been to Fukuoka Hakata. I ate Hakata ramen there. It was really delicious!
The biggest, most modern city on the southern island of Kyushu has an international flavor, with ferries zipping back and forth to Korea and a surprising number of international university students. The city still has plenty of Japanese traditional appeal too, including world-famous Hakata-style ramen. It's also a great jumping off point for exploring the rest of the island, whether you're headed to the hot springs of Beppu and Yufuin, volcanic Mt Aso or the southern castle city of Kagoshima.
Beyond the industrial areas, much of Fukuoaka has a rural aspect to it yet also easy access to the sea. Had a wonderful experience staying in a Japanese ryokan style traditional inn. Also had a wonderful seafood meal at a local restaurant. Had the feeling that few foreign tourists make it here other than occassional business travellers checking in on factory operations.
Though it can feel gray and industrial, central Fukuoka has its charms. The highlight for me is late night ramen at one of the riverside stalls. The people are friendly and the nightlife can be fun if you are gregarious and don't mind striking up conversation at one of the many small bars. Famous for tonkotsu (pork bone) ramen.