Several drinks made with rye and gin include: Joker Cocktail, Jolly Jumper and Smoking Martini. The Joker cocktail is made from 2 parts gin, 1 part rye and a maraschino cherry. The Jolly Jumper is made from equal parts rye, vodka, gin and Passoa, with some orange juice. The Smoking Martini is made from 4 parts gin and 1 part rye, shaken, not stirred.
there are many.
Gin martini is the first and most commonly known one.
2oz gin
Dry Vermouth to taste
stir gently
Go to the site I linked and you will see virtually every cocktail made with gin to date.
Rye is used in Rye Whiskey.
Tom Collins
A martini, gin and tonic, and a gimlet are all made with gin.
A Gin Sling is a juniper flavored cocktail.
A Pipe Wrench
Perhaps the best known are the Singapore Sling and the Martini.
the cocktail with this recipe is called an earthquake.
The gimlet is a cocktail typically made of gin or vodka and lime juice.
The most popular cocktail garnished with an onion is the Gibson. Made with gin and dry vermouth, the Gibson is, in fact, just a dry martini cocktail where the usual lemon twist or olive has been replaced with a cocktail onion.
martini
An Alabama slammer is a cocktail made with amaretto, Southern Comfort, sloe gin, and orange juice.
The name for it is a "Martini" Lots of different takes on it, but basically it is Gin, French Dry Vermouth (Noilly Prat), Tonic Water, Lemon Twist. Some say ice, some say no ice to be true to the original. Some say no tonic water. Some say 1/3 Tonic, 1/3 Gin, 1/3 Vermouth. Some say 6/10 Gin to 4/10 Vermouth. Some say Sweet Vermouth is OK. Some say twist of lemon rind for fragrance. Some say slice of lemon. Some say lemon and mint garnish. I am not sure what the orignal recipe really is, but I think it was Gin, Vermouth, and Tonic, no ice. Greer Garson ordered it from Reginal Owen in 'Random Harvest' and got it in what looks like a tall shot glass.
vodka rum tequila gin whiskey brandy
A martini is gin and dry vermouth. Assuming you mean a cocktail, I suppose you could make one maybe with a lot of gin, lemon juice, schnapps, and orange bitters. Good luck!