Many database replication protocols have been designed for guaranteeing a serialisable isolation level, since it is appropriate for almost all applications. However, it also requires a tight coordination among replicas and might generate high abortion rates with some workloads. So, other isolation levels have also been considered, such as snapshot isolation and cursor stability, but none of the previous works has proposed an overall support for more than one isolation level at the same time. This paper explores such a research line.