No, there is not.
Equestrian
Equestrian is a sport. It begins with the letter e.
If you're wanting a mascot name rather than the city, the NFL's Eagles of Philadelphia is one.
eagles
A sport that starts with E would be equestrian. I have no idea what sport starts with Z.
Eagle is a term in golf. Elbowing, empty net goal, enforcer and extra attacker are hockey terms. Eligible receiver, encroachment, end around, and extra point are football terms.
Equestrian
· equestrian
Eggnog is a drink that starts with the letter E.
No river in Hungary starts with the letter E.
Escrime (Fencing)