Germany actually does that! Quite a few government bodies are already active at https://social.bund.de/. Maybe there‘s hope that other countries will follow.

There‘s a great episode of Map Men covering this map and a few other, similar ones.

The source for this data is Equaldex. According to their data on Sweden, for example, the following things are rated negatively:

• non-binary genders aren‘t legally recognized
• intersex infant surgery is not banned
• donating blood is not always possible for homosexual men
• conversion therapy is not banned

They might also take their public opinion section into account for the country‘s overall score, but I haven‘t looked into that more thoroughly.