At the 1937 Zurich Switzerland meet there were a total of five Bf109 aircraft, a mix of B's and D's along with two specials, V14 and V13. The event took place in July and August of 1937. Various Bf109 aircraft won the circuit of the Alps race, the formation race and the climb and dive competitions.
There was a red Bf109V14 (erroneously reported as being blue by many sources, possibly confusing it with a blue Ha1112 flown by Whittington). This Bf109V14 was a converted Bf109B featuring a DB601 engine, designated DB601 Renmotor II with 1565 horsepower)
There was a blue gray or gray green Bf109V13 (another converted Bf109B with a DB601 engine, converted after the V14).
Let's see.... I know there was a Bf109G-6(Y) high altitude intercepter used by the Finns for racing. They designated it as an MT 508.
And some other interesting tid bits........
The first Bf109V-1 prototype was raced by Ernst Udet, which used a British Rolls-Royce Kestral upright V engine with 695 takeoff horsepower.
Two more prototypes were built designated Bf109V-2 and Bf109V-3. The Bf109V-2 was built in 1935, and used a 610 horsepower Junkers Jumo engine. The third protoype was an armed version of the V-2 but was delayed until May 1936 due to lack of engine availability.
In November of 1937 Udet set a world speed record of 379.38 mph in a Bf109C powered by a DB 601 engine rated at 1175 horsepower.
There was a Bf109R (in reality the initial prototype Bf209) that was purpose built for racing, but the only thing it had in common with the Bf109 was the DB 601 engine. It set a world speed record of almost 470mph in April 1939.
The last evolved version that Messerschmitt developed was designated Me209 II, but really wasn't related to the Me 209 racer at all and was an evolved version of the Bf109G. It had a few interesting design changes - the narrow track landing gear was changed to hinge from the wings, instead of at the fuselage, greatly widening its track. It also featured a taller tail and a more power version of the DB601.