AAAAAAAAAAAH! screaming I just erased my whole reply to you, Aesiron. They shouldn’t put that damn “delete” key so close to the backspace key! bitter
Anyway, to nobly try again…
Have you tried the classic Tequila Sunrise? It combines your cherry and tequila.
1 1/2 oz tequila
Fill with OJ
Dash of grenadine
Most mixed drinks with more than one modifier are made in a 12 oz Collins glass, so when you build a drink over ice, with the 1 1/2 oz liquor, you should reach the appropriate proportions when I say “fill.” And for the best look, run the grenadine on top of the OJ, around the inside rim of the glass, so it will sink/fade to the bottom and look like a sunrise.
And if you’re tired of boring margaritas, you might want to try an Italian Margarita–made with amaretto–or a peach margarita, which adds peach schnapps. Sangria is also tasty in a margarita, as is melon liqueur. (Midori, etc.)
As far as citrus flavored/cherry flavored drinks, that’s a long list, so here’s a couple of favorites. 
Cherry Vodka Sour (very popular among young drinkers)
1 1/2 oz vodka (flavored if you like)
Fill with sweet and sour
Dash of grenadine
Shaken with ice, this is a very smooth, sweet, candy-flavored drink.
Bay Breeze
1 1/2 oz vodka
Fill with half cranberry juice, half pineapple juice
Shaken with ice. Simple and easy.
Blue Hawaiian
1 1/4 oz Malibu rum (coconut flavored rum)
3/4 oz Blue Curacao (orange-flavored triple sec)
Fill with pineapple juice
This is a tasty, but not particularly strong, tropical drink; if you’d like more kick, try a 3/4 oz of Malibu and 3/4 oz of regular light rum.
(Simple) Hurricane
1 oz light rum
1 oz dark rum
1 1/4 oz pineapple
1 1/4 oz OJ
Dash grenadine
Float of 151 on top
Build over ice and shake everything but the 151, which is “floated” on top afterwards. 1/4 to 1/2 oz of 151 is all you need. (This is a strong drink, so make sure you don’t overload the liquors or your night might end too early. ;))
Anyway, that’s a sample of classic, popular drinks that pretty much everybody’s familiar with, so that should get you started.
Any questions?