Opera Mini: Free
Apple’s had a long history of not allowing alternate web browsers on the iPhone, but it let Opera Mini slide through earlier this year.
Rule 2.17:
"Apps that browse the web must use the iOS WebKit framework and WebKit Javascript."
According to an Opera Mini developers article, "Opera Mini 5 identifies as Opera/9.80" and "JavaScript won’t run client-sideā¦ once the page has finished loading."