There are about 47 different genera of Ginger.  I grow mostly those in the Hedychium genera and concentrate on those that have a strong fragrance and are fairly cold hardy.  I only have a few different species now but they are all very cold hardy and come back each year.  Below are some of my favorites.
Hedychium coronarium – Butterfly Ginger
Hedychium Dr. Moy

Curcuma zeodora