I am the main author of ORMLite which has a Android backend which makes calls to the native Android OS database APIs to support its ORM functionality. We have a large number of Android developers that are using the framework successfully. See here for more information:
http://ormlite.com/sqlite_java_android_orm.shtml
In terms of many-to-many relationships, ORMLite does not support cascading or any of the more advanced ORM features but there are examples of easy many-to-many implementations:
http://ormlite.com/docs/examples
