"variations to" is correct and usable in written English.
You can use it when referring to different versions or forms of something. Example: We have identified two variations to our original proposal.
There are variations to the sandwich recipe.
There are some variations to this pattern.
But there are of course variations to the single shot.
I think there are many regional variations to this formula.
Crescents, rectangles, flying V's and metal skeletons were only a few of the variations to come.
Jeevan doesn't like it so starts throwing in his variations to stem the assault.
As with dialects, there are a hundred regional variations to the light in the British Isles.
Another couple made a pleasant impression in George Balanchine's festive "Theme and Variations," to Tchaikovsky.
Maybe it's because the haircut has too many subtle variations to warrant an umbrella term.
"We reviewed about 15 variations to deal with the dilemma we inherited".
There are three grades of walks with variations to cater for all levels of fitness.
