There are a few different types of routers that work with Time Warner cable. The most common type is the DOCSIS 3.0 router, which is compatible with most cable providers. Other popular routers include the AC1900 and the Nighthawk R7000. Each of these routers has its own unique set of features, so it's important to choose one that best suits your needs. If you're not sure which router to get, you can always contact Time Warner customer support for help.