Perhaps I should have rephrased the question.... I know that all yeasts that aren't clean won't give off different flavors. I think most homebrewers use clean yeasts and know what to expect from it, considering clean means "no added flavor".
I would argue that most homebrewers don't necessarily use "clean" ale yeast. Sure, some do. But most of the brewers I know give as much thought to their yeast strain as they do the malt bill or the hops.
There are a few "clean" strains that are often used for American IPAs and APAs (I use WLP001 often for that) but many of us use yeast for character as well and look carefully for characteristics we want.
Some strains are "minerally", some are "fruity", some are "dry", some enhance malt flavor, some enhance hops flavor, some have hints of stone fruits, some have bubblegum aromas, etc. The yeast companies probably have over a hundred different strains to choose from, and that's why.
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Dry yeast strains are far more limited, and while brewers might find them convenient they don't have the variety of those liquid yeast strains available.
I'm trying to answer your question- but it's like answering the question "What do spices taste like?" in a way. There are hundreds of spices, and they all have flavors and characteristics. The same is true of yeast strains- they are different in the flavor, mouthfeel, aroma, etc- so it's not really possible to give you a list unless we copy/paste from the websites.
Both White Labs and Wyeast have their strains listed, along with the flavor characteristics and attenuation levels. That would be a good start. Another good place to look is at recipes. if you see someone using, say, Wyeast 1450 Denny's Favorite, you could ask why. As an example, that strain is noted to enhance malt flavor and mouthfeel without being underattenuative (too sweet), and it gives almost a luscious mouthfeel to my oatmeal stout, with a "clean" malt flavor. No other strain is the same.