Does Lord Brahma have any avatar?

Yes, When Shankaracharya incarnated. Even Brahma and Maha Vishnu incarnated as Mandana Mishra and Sananda respectively. For that reason Saraswati also incarnated and married Mandana Mishra. read more

Lord Shiva and Lord Brahma also took avatar. I knew some avatars of Lord Shiva like Hanuman and Adi Shankaracharya. About Lord Brahma I know that he took an avatar as Haridas Thakur (A great Vaishnava, also known as Namacharya). I do not know much about Lord Brahma's avatar. If I found some references from scriptures I will add it here. read more