In addition, the list recognises Tim Angel, chairman of costumiers Angels and Robert Cohan, founder of contemporary dance school The Place.
Russell Beale was knighted for his work as an actor, whose career spans four decades.
Pountney was also made a knight. He has directed more than 10 world opera premieres, including three by Philip Glass, and was made a CBE in 1994.
Olivia Colman has been awarded a CBE for services to drama. She said: “I’m totally thrilled, delighted and humbled to be in the company of these incredible people.”
The Place founding artistic director Cohan has also been knighted. Cohan was awarded a CBE in 1988 for his contribution to dance.
Angel has been made a CBE, for services to theatre, film, television and the arts, as has Marcus Davey, artistic director of the Roundhouse, for services to the arts.
Jumbo has been made an OBE for services to drama, with Robin Ticciati, principal conductor of the Scottish Chamber Orchestra, made an OBE for services to music, and singer and actor Alfie Boe awarded an OBE for services to music and charity.
Atim has been made an MBE, for services to drama, with Nick Thomas, founder of Qdos Entertainment Group, also made an MBE.
Laura Dyer, deputy chief executive of the Arts Council of England, has been made an MBE for services to the arts. Choreographer Kate Prince, artistic director of ZooNation, was made an MBE for services to dance.
Actor and singer Jacqui Dankworth and composer Anna Meredith have also been made MBEs.