Tequila shots. Lick their salty tears off their cheeks, down a shot of tequila, suck on a lime, then throw the lime peel at them and walk away triumphantly.

Classic martini, dirty, with an olive.

Dirty martini

A little saltiness would taste nice in a bloody mary.

for margarita (and some other drinks) the glass rim is covered with salt. So, you could evaporate the tears and put the residue on the rim in place of salt.

Tearquila Sunrise

I think Dave Arnold suggests putting saline in most cocktails