What are qualities that make a good team player great in an office?

• 1.Show Genuine Commitment
• 2.Easily And Quickly Adaptable
• 3.Confident Communication
• 4.Reliable And Responsible
• 5.Actively Listens
• 6.Shares His Opinion.
• 7.Always Ready To Help
• 8.Supports And Respects Others.

To be good team player

• Greet everybody in the morning in your unit. Say, Hi/hello whenever you come across any Staff Members.
• Wish everybody on their birthday (as possible) and proactively arrange a simple birthday party in office.
• Show your sympathy to all and visit your team members when they are sick or hospitalized 
• Listen to others in the meetings and place your point of view appropriately during conversation
• Help others to do their job whenever possible. Thanks everyone for their support to you
• Ask inquisitive questions in the monthly staff meeting
• Keep your commitment and deliver results on time
• Take up voluntary work and Do not quarrel with anyone 

I think following qualities may help to develop team work environment at the workplace:

• Soft Spoken
• Motivator
• Well communicator
• know how to balance the team
• people management
• job knowledge
• negotiator
• problem solver
• multi skills e.t.c.

Obviously you can't assess an employee as "a good team player" based on your contributions to the office even if you're an HR team playerDiversity is a must in each office.