I think the original post meant this to be about British wrestling. Because if we start on overseas wrestling, we will eventually reach Mexico, where probably half the guys employed by the major companies are sons or fathers of other wrestlers. To name a few:

Ray Mendoza, father of the Villanos (I-V)
Pierroth, Pierroth Jr
Rayo de Jalisco, rayo de Jalisco Jr, El Hijo de Rayo de Jalisco
Santo, El Hijo de Santo
Fuerza Guerrera, Juventud Guerrera
Blue Demon, Blue Demon Jr
Also, Rey Misterio Sr's son is training to wrestle, and will apparently be billed as the REAL Rey Misterio Jr (the guy in WWE is Sr's nephew)

Ray And Mark Robinson are Father and Son

My favorite:
The father and son tag-team from Australia that was in the old WCW/NWA tag-team tournament. Clash of the Champions I think. The ones who got KILLED by 'Dr.Death' Steve Williams and Terry Gordy. Funny.

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Judging by the videos Andy Flyer is doing i think he has more than one boyfriend !!! lol

I just thought of another Rip Oliver and Jack Oliver, they wrestled in Pacific North West, which is the promotion that Roddy Piper used to call home.

Allot of great talent came and went through PNW before they finally folded in the early 1990's

Dont forget in British wrestling we also have Brian Dixons Daughter Miss Letisha now entering the business.

Ricky Knights younger son, i really cant remember his name, i think he is around 12 yrs old, well he is now entering the wrestling rings.

Blackjack Mulligan is father to Barry Windham and Kendall Windham and "IRS" Mike Rutondo is a cousin to them.

Alan Kilby and Adam Kilby (British)

Jackie Pallo had a son and he followed in his fathers foot steps, think he was jackie Junior......

They both ran the WAR promotion.

Jackie was one of the greatest British wrestlers to ever step foot in a ring.

Just thought i would mention it seeming no-one else has.