MSL Leisure’s Beachcomber Amusements. The Beachcomber Family Entertainment Centre has been family run since 1966. Located on Leven’s picturesque Promenade with expansive views over the Firth of Forth estuary. The Beachcomber is a welcoming and entertaining aspect of Leven and adds to the experience of the Promenade’s attractions. The Beachcomber encompasses an Amusement centre with video and redemption games, a children’s seasonal outdoor fun area with inflatable jungle attraction and slide, (weather permitting) and The Beach Coffee House cafe, which is well known for its panoramic views and friendly service.