https://en.wikipedia.org/wiki/Global_surveillance_disclosure...
That's a mishmash of disclosures including those Snowden claimed to focus on, but there are plenty stemming from the Snowden leaks which had to do with run of the mill intercepts against foreign states and even against allies (because allies spy on allies all the time, let's be honest).
Whether "vast majority" is true isn't something I can say because I personally haven't actually read the leaks themselves, but it wouldn't surprise me given that most of the news after the big US revelations were all about NSA activities outside the US against non-US persons.
I won't bring my own opinion into this, but given my reply, it's probably fairly easy to discern what I think should(n't) be done here.