How do you approach the term "recipe," you know? If it's the combination of ingredients + technique, this question is virtually impossible to answer, yes. I'd probably have to pick a pale ale with two row, in the 1.048-1.055 range, 30-35 ibu, american hops, and a california common yeast strain.
And since you didn't specify, and it's the rest of MY life, I get to answer accordingly: I am seriously casual in some of my techniques. Not sloppy, but fairly imprecise: I don't have a RIMS, I batch sparge, I don't calibrate my thermometers, if I get distracted I can leave a mash going for 75 minutes instead of 60, I weigh my hops but sometimes I'm splitting boiling kettles and I boil one less time than the other.
Suddenly, because of my imprecision, even with a very set and strict ingredients formulation, let's say...
10 # two row
.5 # 90L crystal
.25 # dextrine malt
summit, cascade, and willamette hops
Wyeast 2112
tap water
My lack of concern about certain factors (particularly efficiency, and timing) makes it harder for every one of my beers to be exactly the same. I don't have the gear to hold a mash at exactly the same temperature for exactly the same rests. I don't have the gear to extract exactly the same amount of fermentables. I don't have the stuff to make exactly the same size boils to utilize the same amount of AAs. I don't have the attention span to remember which bowl has the .25 oz. of summits for bittering and the .33 of the other ones for part of a flavor addition. I keep my brewhouse temperature up in the winter with a space heater! Which means that over a lifetime, I will make thousands of different brews with the above recipe, even if I'm trying to be rigidly consistent.
If you said "you have to make the same recipe using the same techniques," then yeah, I'd eventually only brew about twice a year because that wouldn't be my hobby anymore, it'd be a chore. Spring and fall cleaning of the equipment.
But because I know just enough to be dangerous not only do I get to fiddle with the factors, I won't be able to be consistent, and thus create infinite variety. 155F mash one time, 149F the next, 153 for seven brews in a row. Steep a portion of the grains instead of mashing. Do some decoctions. Cook some of the barley in the oven. Bittering with the cascades, flavoring with the summits, aroma with the willamettes. Reverse it. Maybe that year I got some unusually low alpha summits--hell maybe I grew my own hops and I have no idea what the AA values are. Accidentally leave the primary open, standing in a cornfield one time. Turn up the heat in the brewhouse one time, take it to 59F the next. Throw out my thermometers and approximate everything using crude math, knowing that water boils at 212 and having some room temperature water on hand to balance. My "seriously casual" approach to brewing makes it impossible for one recipe to straightjacket me.
A sonnet has 14 lines. But no one can even agree on a standard rhyme scheme! Hell even if you keep the rhyme scheme the same, Shakespeare and Petrarch wrote hundreds within their specific variations on the form (the homebrew equivalents would be Jamil and Palmer maybe). I may not be Shakespeare, but I've written some sonnets in my day.