You probably know this, but the same is applicable to "cross-site request forgeries" in general, they just aren't as trivial to exploit as img src. If they can perform a GET they can perhaps use javascript to import confidential information into a loaded page and scrape that.
POST requests aren't safe from tricks by third-party sites either, as is mentioned here for example: http://www.owasp.org/index.php/Cross-Site_Request_Forgery
(Open Web Application Security Project looks interesting otherwise too.)
Good point, but with ajax this is very common. There are also frameworks that abstract "params" into GET+POST+COOKIES, since they are all under user control in theory the security level is the same, but actually the img trick changes this.
You shouldn't be using GET for anything that has side effects.