Tom Nuttall's boneshaker was at the center of Deadwood's big plot turn this season. Though I'm not quite sure it was a boneshaker, which are made of wood, with wooden wheels shod in iron. The frame of Tom's bike appears to be metal and the tires rubber, which would make it a "penny farthing", as the English called them - the penny (front wheel) being much larger than a farthing (rear wheel).
Both the boneshaker and the penny farthing are hi-wheel bikes, with pedals welded directly to the huge front wheel (large to allow for more distance with each revolution), a seat mounted way up the frame and a tiny rear wheel. Like today's SUVs, the center of gravity on these bikes caused them to tip over at the slightest provocation.
If you'd like a boneshaker all your own there are companies making modern replicas. For a normal bike, check out Worksman. Based in Ozone Park, NY, Worksman is American's oldest bike company, building commercial and industrial bikes (you've seen them delivering pizzas and carting ice cream). Worksman also builds tandems, trikes, recumbents, folding bikes, etc. They have a 'recreational" line that includes the Coney Island Cruiser and a tough-as-nails model with kevlar tires and drum brakes, dubbed the Rush Hour Urban Assault Vehicle. I bought a used one some years back on eBay and it ranks among the most sensible purchases I ever made. Damn thing is built like a tank.