Happens fairly frequently in NZ.
Sir Richard Hadlee (and Dayle and Barry Hadlee) - sons of previous NZ captain Walter Hadlee.
Doug Bracewell is the son of former NZ cricketer Brendan Bracewell.
Tom Latham is son of former NZ cricketer Rod Latham.
Then Hamish Rutherford (son of former NZ cricketer Ken) and Michael Bracewell (son of Mark - who didn't play for NZ) are both playing for Otago at the moment.
Then Jonny Bairstow in the England team is son of former England keeper David Bairstow.
The Hadlees are probably the "best" example with both Richard and Walter being NZ legends.
EDIT: And of course Geoff Marsh (Australia) is dad of both Shaun and Mitchell Marsh who could both go on to earn a decent number of Australian caps.
Fascist Dictator of the Heath Davis Appreciation Society
Supporting Petone's Finest since the very start - Iain O'Brien
Adam Wheater - Another batsman off the Essex production line
Also Supporting the All Time #1 Batsman of All Time Ever - Jacques Kallis and the much maligned Peter Siddle.
Vimes tells it how it is:
Originally Posted by Samuel_Vimes
Heath worryingly quick.