Coextruded, biaxially oriented, heat-shrinkable films having a base layer comprising a polyester having an intrinsic viscosity greater than 0.75 and at least one outer heat-sealable layer directly adhered to the base layer are disclosed. The outer layer is heat-sealable and optionally peelable in particular to polyester containers. The invention further relates to a process for producing the film and to packages comprising a container, a product and the coextruded, biaxially-oriented heat-shrinkable film sealed onto the container. The packages are suitable for use with ready-prepared foods, so-called “ready-meals”, which are intended to be warmed in a microwave or in a conventional oven.