Is there a fungus that causes itchy, red skin?

Yes: Most skin fungus will cause itchy red skin on the groin, on the feet especially between the toes b and can be treated with topical antifungal creams such as miconazole, terbinafine, or undecalynic acid.

Itchy skin: Any fungus that interacts with the skin can cause a red itchy rash either through an allergic contact dermatitis or an irritant contact dermatitis.