Yes. Netgear offers a modem with a router built in. It has 4 ethernet ports and is wifi capable. Its' model number is N450.
Yes- Model No.: DGN2200-100NAS N300 has an Internal DSL Modem
According to the Time Warner Subscriber "Compatible equipment" recommendations pages Netgear N450 Model CG3000Dv2, Model C3000-100NAS, and Model C3700-100NAS are "MODEM & Wifi routers". Check your Internet Service Provider, (if different from Time Warner) to see if they have a similar list. Time warner Charges and equipment fee for the Modems they provide - but also post this compatible "bring your own equipment" option.
I do not work for Time Warner, but I had just seen their offerings linked to a recent $14.99/mo budget promotion 3/3/1014