The poet known by the kunya (teknonym) "أبو الطيب" is المتنبي (al-Mutanabbi), whose full name was أبو الطيب أحمد بن الحسين الجعفي الكندي (915-965 CE). He is widely regarded as one of the greatest poets in the Arabic language.
Al-Mutanabbi was famous for his qasidas (odes) praising rulers, particularly Sayf al-Dawla al-Hamdani of Aleppo. His poetry is celebrated for its powerful imagery, philosophical depth, and masterful command of the Arabic language. Many of his verses have become proverbial expressions used to this day.
The other poets listed are equally famous but are known by different names: عنترة (Antara ibn Shaddad) was a pre-Islamic warrior-poet; الفرزدق (al-Farazdaq) was an Umayyad-era poet known for his rivalry with Jarir; بشار بن برد was an early Abbasid poet. None of these carried the kunya "Abu al-Tayyib."