I only can think of Fila sponsoring Brabham in 1983 as you can see its rear wing:

Adidas putting their logo on the Porsche RS Spyder:
I remember Reebok sponsored a Indycar in the late 1990s as you can see it from an avatar from a motorsport forum (who is the driver and when?)

I have scanned a photo of Kappa sponsoring the C1 Spice car at the Suzuka 1000kms in 1989:

Is there any more examples?