I'm looking for old version of Raspbian with kernel 2.6.18 ~ 3.10.10.
Google points to http://downloads.raspberrypi.org/raspbian/images/ which has old Raspberry Pi Foundation images.
You will have to work out which Linux kernels they use.
https://github.com/raspberrypi/linux (Branch: tab) suggests that 3.2.27 was the earliest kernel used.
To emphasize a point made in joan's answer, a quick glance at current "longterm" kernel releases shows that 3.2 dates back to at least January 2012 (I think the first 3.2 would be some months older), a month before first generation Pis became widely available, so it is very unlikely there is any branch of the Pi kernel predating that.
You are not strictly bound to using a specific kernel with a specific version of Raspbian, however, you will probably have to compile it yourself, install the modules properly, etc. and there are no guarantees.