There are a number of players born in countries outside Aus, Eng and NZ; not so many of those players actually grew up or played junior RL outside those countries.
As pointed out, Lions VC Brian Carney was born in Wicklow, south of Cork in the Republic of Ireland. O'Hare was born in Wrexham, Nth Wales, played junior RU there. Gene and Bai are born and bred PNGuineans, Wilshere was born there but played his junior RL in Yepoon, QLD.
Bulls winger Lesley Vainikolo was born in Tonga but acc to Bulls website, his parents were from NZ.
The following players were all born in (Western) Samoa, probably in capital Apia, and raised in Auckland, NZ, except Talau (in Taranaki).
* Bulls Prop Joe Vagana
* Hull fullback Motu Tony (also part Niuean)
* Future Saints wing recruit Meli (also Tokelauan)
* Warrington winger Henry Faafili and prop Danny Lima
* Saints centre/second row Willie Talau
* Widnes winger Misili Manu
* London Broncos prop Joe Mbu was born in Zaire
* Saints forward Maurie Faasavalu was born, raised in Samoa & played junior RU there.
* Wakefield winger Semi Tadulala was born in Fiji
* Wakefield centre Sylvain Houles, prop Olivier Elima and Wigan forward Jerome Guisset are French
There are more players in National Leagues 1, 2 and beyond born outside (e.g. Welsh, French, Pacific Islanders and African).