Which is the gold badge that is achieved by most number of people? Which is the second one?
Where can I see such a statistics in SO?
However several of the badges can be awarded to the same user multiple times, so those numbers only tell you how many times the badge has been awarded, but not to how many people, unless of course the badge is one of those that can only be awarded once.
If you really want to know the counts per user, a Data Explorer query would be your only way (and yes, you'd probably have to write it yourself).
Keep in mind that there are some gold badges that can be awarded multiple times to the same user. So this number is not how many users have been awarded the badge, rather how many times the badge has been awarded.