There aren't many, because I only have cocktails among friends at a party, now. But we experimented at one time, and had a few home made cocktails in Calicut.
Polly's Folly, with Vodka, lime, soda and salt was a favourite. A sliced and de-seeded green chilli is added and left for a couple of minutes, to add some zing.
Among standard ones, Tequila Sunrise is one I liked. Among the exotic ones, Bahama Mama and Bahama Papa. Remember having the Mama with Kanika Mhendiratta in Delhi recently.
Bloody Mary too, among standard ones. Sometimes, a Gin and Tonic.
Gin and Cointreau also tastes pretty good.
