I've had a 10mtr tin of Agfa Ortho 25 in my fridge at 4deg C since about 1989. It has an expiry date of Jan 1990. A few months ago I took it out and wound a short length into a cassette and the resulting exposed negs were perfect. During an inactive period of photography from 2004 to 2012 I also had in the fridge some HP5, TMax 400, FP4, Delta 400, all way past their expiry dates and they were all OK. You don't need to freeze the film, a fridge will do.
I would like to see production or expiry dates for paper. Unless you have a vast fridge, which I don't, I find papers losing their edge after a year or so. When you buy paper you have no idea how long it has been on the retailer's shelf before it is sold. Adox now put a Production date on their packaging but I think they are the only ones who do. Ilford show batch numbers but there is no way to link these to dates.