Guideverse - Espers have psychic abilities and will go berserk unless calmed by a guide (usually through physical contact).

Omegaverse - Alphas are powerful dominant leaders who must have s*x with an (imprinted) omega or go into an animal rampage.

Other miscellaneous tropes that necessitates touching or death - soulmates, magic curse/illness, healing/cleansing rituals, magic/mana/drift compatability, etc.