While the tranquil waters, white beaches, and endless stucco strips of bars and shops that line Cozumel's touristy West Coast provide most vacationers with everything they need, the wild east may be calling to you.
The rugged East Coast, facing the waves of the wide-open Caribbean, is much less accessible and developed, which is precisely its appeal. There are many of gorgeous deserted beaches lining the coastal road, but none like El Mirador.
This is - emphatically - not a swimming beach. El Mirador lookout rocky point sculpted into an amazing seascape of natural bridges, blowholes, tide pools, and spires, with an astounding sapphire backdrop you'll never forget. Climb the tower for magnificent views.
Unless you book a tour, you must have private transport, either a rental vehicle or taxi, to visit the wild and rugged East Coast and El Mirador lookout. While this region is beautiful, and the road (this section, at any rate) is good, note that services are relatively few and far between.
Also keep in mind that El Mirador lookout isn't a particularly safe spot. Rocks are slippery, waves serious, and currents deadly. Wear real shoes and use care when climbing around.