Gonna make this a list of ships that I haven't flown for more than at least an hour, since I've made sure to play around with all new ships in the beta for a very small amount of time.
Adder
Anaconda
Asp Explorer
Asp Scout
Cobra Mk III
Cobra Mk IV
Diamondback Explorer
Diamondback Scout
Eagle
Federal Assault Ship
Federal Corvette
Federal Dropship
Federal Gunship
Fer-de-Lance
Hauler
Imperial Clipper
Imperial Courier
Imperial Cutter
Imperial Eagle
Keelback
Orca
Python
Sidewinder
Type-6 Transporter
Type-7 Transporter
Type-9 Heavy
Viper
Viper Mk IV
Vulture