Islabikes are lovely, wish we could afford them!
There are alternatives maybe not as great, but it ultimately depends on what you want the bike for and how much are you going to use it.
Ridgeback have some good bikes, Raleigh too. I'm sure there are others, too. For a 9 year old you'd need a youth bike, and I think there's plenty of choice. I would definitely ask her, though, as kids tend to be influenced by trends and what their friends have. DS wanted a mountain bike at age 9, two years later it was all about BMX and now, at nearly 13, is desperate for a racing bike.
We cycle a lot around town, bikes are our main transport - for trips up to about 5-6 miles, usually less. DD1 was fine with a second-hand 20' Raleigh from when she was around 6. Now, at nearly 8, she has outgrown that, so I got her a Peugeot kids' racing bike (from ebay, for around £60) which she really enjoys.