Slick drivers for Oracle (com.typesafe.slick.driver.oracle.OracleDriver) and DB2 (com.typesafe.slick.driver.db2.DB2Driver) are available in slick-extensions, a closed-source package package with commercial support provided by Typesafe, Inc. It is made available under the terms and conditions of the Typesafe Subscription Agreement (PDF).
If you are using sbt, you can add slick-extensions and the Typesafe repository (which contains the required artifacts) to your build definition like this:
// Use the right Slick version here:
libraryDependencies += "com.typesafe.slick" %% "slick-extensions" % "1.0.0"
resolvers += "Typesafe Releases" at "http://repo.typesafe.com/typesafe/maven-releases/"