ME 108 was a Taifun, a little thing that looked rather like a 109.
Adolph Galland had one he used to fly around in in the 1960s. I saw it at a air show in Wiesbaden and him and some other interesting types from the war time Luftwaffe. They were all fairly little guys. The Bf 109 had a cramped cockpit, very small. I took a picture of three guys at that airshow who had shot down more than a thousand planes during the war. Eric Hartmann was one of them. The krauts had a target rich environment to fly in for a long time and they didn’t get to go home after 50 missions.
From memory Bf stood for Bayerisher fleugzeug werke.