The only relatively mainstream site I can think of that doesn't use https is the Australian Bureau of Meteorology [1]. The weather isn't exactly sensitive info but I don't see any excuse not to just set this up.
The comment just above you:
> Admittedly a small problem, but for microcontrollers that don't support https and just want to get some publically available data like weather-- it is an issue. So lots of hobbiest projects are basically turned off because of this.