There are so many liquors that I like! Gin and tonic. Vodka and tonic. Vodka or rum mixed with lot of choices. Mojitos are probably my favorite drink of all.
The only kind of hard liquor I will drink without making faces like a 19 year old noob is Sailor Jerry's Spiced Rum.
This and Kraken were all I drank for a few years. So tasty. I won't turn down anything but I'd choose either of those, Jameson on the rocks or if I felt especially summery I'd add Absolut Mango to lemonade.
Oooooh. And in the summer I LOVE pink lemonade and vodka. When people come over I just make a batch ice cold and pour the vodka straight into it. So yum.
I'll drink about anything except Scotch/Whiskey/Bourbon as it doesn't really agree with me.
Rum and diet coke is my easy make at home/dive bar drink.
As pp mentioned, your intention with the hard alcohol is important in providing a suggestion. Not a drinker and want something that tastes good? Want to get plowed without a hangover? Totally different suggestions;)