What free software based online backup service would you recommend? Are there any?

[wempwer]

Hello,

I am looking for a way to keep my important stuff safe. Currently I am using 
rsnapshot to backup my entire system on an external drive connected to my 
router. I have installed OpenWRT on my router and I keep my config files in git 
repository set on my router. But I would like to keep some of the important 
things such as photos not only at home but also on a server in a different 
location in case of fire, burglary etc. It would be good if I could upload all 
files at once using the script and if there were no restrictions on files size. 
I would still encrypt everything with GPG but I would like the service to be 
free software for security. I could pay a reasonable amount of money for the 
service for it to be reliable. I don't need any fancy website interface or 
standalone client. I don't need a synchronization service, I would send files 
on my own when I would need it. I guess that buying some space on the FTP 
server is my only choice here. What would you recommend?