I don't know why Heavyweight boxing is so popular anyway, it's never had the skill and speed of the lighter divisions. The best boxers in the world today fight at lower weights. Floyd Mayweather and Amir Khan being two examples.
However, the current Heavyweight champions are:
WBA: Ruslan Chagaev from Uzbekistan
WBO: Sultan Ibragimov from Russia
WBC: Oleg Maskaev from Russia
IBF: Wladimir Klitschko from Ukraine
All Eastern Europeans, so probably not getting much coverage outside of their own countries, unfortunately, particularly in the UK and USA. The possible exception is Klitschko.