The general consensus on this site seems to be that winning appeal for a place in reception is rare. I just wanted to reassure anyone going through this process, that it is more than possible. I successfully appealed the councils decision to not offer us a place at any of our three choices and won by appeal in the second term of reception. I wish I had done it immediately instead hemorrhaging money on private education whilst waiting in a list. My grounds of appeal were that they miscalculated the distance. Just to add that friends living locally have since followed in my footsteps and rightfully gained a place for their child by way of appeal, also.
This [central london] council used an alternative method of calculation for the year of my application (2008). The result differed wildly from the distance that would have been given in previous or subsequent years.
It was a bit of a battle but worth it as my child now has a place at the one of the best schools in Islington as will he brother come next September.