The Unicode Consortium has made a huge effort better reflect and incorporate human diversity, including cultural practices. Here is the Consortium's diversity report.

Emojis of mixed gender situations are now available, such as same sex families, holding hands, and kissing. The real kicker are Emoji combined sequences. Basically:

Code Points Recipe Combined
U+1F469 U+200D U+2764 U+FE0F U+200D U+1F469 👩 ❤️‍ ❤️‍ ❤️‍ 👩 couple with heart: woman, woman
U+1F468 U+200D U+1F468 U+200D U+1F467 U+200D U+1F466

Further, emojis now support skin color modifiers.

Five symbol modifier characters that provide for a range of skin tones for human emoji were released in Unicode Version 8.0 (mid-2015). These characters are based on the six tones of the Fitzpatrick scale, a recognized standard for dermatology (there are many examples of this scale online, such as FitzpatrickSkinType.pdf). The exact shades may vary between implementations.

Unicode Consortium's Diversity report

Code Name Samples
U+1F3FB EMOJI MODIFIER FITZPATRICK TYPE-1-2
U+1F3FC EMOJI MODIFIER FITZPATRICK TYPE-3
U+1F3FD EMOJI MODIFIER FITZPATRICK TYPE-4
U+1F3FE EMOJI MODIFIER FITZPATRICK TYPE-5
U+1F3FF EMOJI MODIFIER FITZPATRICK TYPE-6

Just follow the desired Emoji with one of the skin color modifiers \u{1F466}\u{1F3FE}.

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