The list also saw The Bfg and Bridge Of Spies star Mark Rylance receive a knighthood and James Bond actress Naomie Harris receive an OBE.
Eyre, 73, who was knighted in 1997, has forged a career across theatre, television and film, with screen credits also including Stage Beauty and upcoming Emma Thompson starrer The Children Act. He received his honour for "services to drama".
Rylance, who has also had a fruitful career on both stage and screen, most recently won an Oscar for his performance in Spielberg's Cold War thriller and will appear in Christopher Nolan's Dunkirk next year.
Harris, 40, who is best known for her role as Miss Moneypenny alongside Daniel Craig in the James Bond franchise,