We have been here over a year and have a two year old who loves peppa pig, we haven't found anything with peeps pig on apart from a pj set. Brought some off a friend and had a lot of stuff sent from uk through shop and ship only way you will get it here, keep your eyes out for flea markets ( other peole selling stuff like a car boot). Also check out mummies souq on fb sometimes expats selling stuff on their, but you have to be female to join. Other than that good luck, if you do find anything let me know .
I got a few peppa books and packs of stickers from the book shop by park n'shop on al wasl (book worm I think it's called) also last Christmas park n'shop had loads of advent calendars and chocolate lollies - the peppa pig ones were all in the pork section. I've not seen any toys here though.
Thanks guys. My niece loves Peppa pig and she lives in Australia. Although they have complete access to all these stuff, I thought I could do my bit when I travel to OZ, from Dubai. Looks like I have to buy the regular toys