At The Park Magazine is a fine publication with great insight into attraction design.  However, problems have recently lead to speculation that this magazine may not be delivering on subscriptions

InterPark Magazine: A good all around magazine for both designers and operators.

Attractions Management – This British Magazine primarily focuses on themed entertainment in Europe.

The E-Ticket
E-Ticket Magazine This magazine includes good research and information on past and present Disney attractions. It is a must for all Disney enthusiasts and theme park designers.

Funworld Magazine – This magazine is included with an IAAPA membership. This magazine is geared toward the owner / operator of amusement facilities.

Entertainment Management
Entertainment Management – A newer magazine.

Park World Magazine – A good all around magazine for both