A typical red wine from the Rhone region in France is a blend several grape varietals, with syrah being dominant. One of their more famous "brands" is Chateauneuf du Pape. Because of the blend, any sip will have layers of flavor. Many of the wines are very drinkable without a lot of age; with age, some of them become special. They're not as "big" as a California Cab, but every Cab drinker to whom I've introduced to these wines has appreciated them. The overall appellation for these wines is Cotes du Rhone. Many will be in the $ 10 - $ 15 range, and are a good introduction to the appellation in general. As the names become more specific (Cotes du Rhone Villages, Gigondas - a personal favorite), the quality, complexity, and price will increase.
My personal collection is ~ 50% cabs, 40% high tier Rhones, 10% other stuff. Rhones are a great counterpoint to Cabs.