The coaxial port on the TV is broken? Or just the cable from the antenna to the TV?
If it is just the cable and not the port on the TV then you can just remake the cable. It isn't too hard and you can get a new connector from Home Depot or maybe even Wal Mart.
If the actual port is broken, then you could look for something like an hdmi digital tv tuner. There are many options out there, but just type that into Amazon and look for one with the features you want.