Like most have already said, my parents also travelled a lot with my sister and I when we were kids, and I thank them all the time for instilling in me this great love of travelling and exploring.
When I was 9 or 10, we were the first tour group allowed back into PNG and had to have an armed escort. An absolutely amazing Country and people.
We travelled to Malaysia and Singapore, and I grew up on an island in the Gulf of Carpentaria where we needed a 4wd to get to all of our camping and swimming spots out of town, and I think Dad found every interesting and not so interesting dead end track on the island (he'd never go the same way home that we came). They even let us swim in the ocean

We travelled down through the Centre two weeks after Azaria Chamberlain was taken by the 'dingo' and wondered why the bus driver was sleeping up on top of the bus while we were down in tents? That trip to Uluru(or Ayers Rock as it was then), Kings Canyon, Katherine Gorge, Coober Pedy etc... is one I still love re-telling my kids over and over. They're slowly ticking these places off their lists too, and I'm making new memories with my kids.
When we moved back to civilisation, we went camping with many other families every chance we got, and it made for a fantastic childhood.
I remember many details from travels when I was younger than 8, but they're mainly triggered by photos.
Reminiscing with Mum and Dad now, I find that I remember things that even they'd forgotten, and there's no better feeling than reliving those shared memories.
Apart from love, I don't think there is a greater gift a parent can give their child than travel.
Karen