Don't think we ever had Full House in Britain, we did have Bob's Full House though:
http://www.ukgameshows.com/ukgs/Bob%27s_Full_HouseNot sure if Stamos or The Beach Boys ever appeared on it though, if they did they could've won a luxury holiday or a Hamper or something.
According to this board, it did air in the UK on Sky One back in the early 2000's.
http://forums.digitalspy.co.uk/showthread.php?p=14598413"One of the main reasons Full House hasn't been aired in the UK for a long time is to do with a long term battle with rival companies over syndication rights. Nickelodeon eventually won and were to air Full House along with Two of a Kind on their UK Nite channel a few years ago but as I said, that fell through, nobody seems to know if it will ever get launched in the near future.
As for Friends, the show only remains a popular favourite on TV because of it's constant terrestrial airings. Channel 4 were smart and purchased the syndication rights way before the show upped it's syndication fees. That's the main reason they never got Full House back as of present. It's too expensive. I find that amazing for a show that ended in 1995. That just goes to show you how popular it still is. In the US, repeats of Seasons 6 & 7 got more viewers then the first (and only) two seasons of Joey combined when they originally aired for the first time. The rights expenses are also unfortunately the reason Full House has never as of yet seen a UK DVD release either."