There is that, but the majority of "wild-type" alleles are dominant to vastly varying degrees, anywhere from complete dominance to an even 50-50 split. ABO blood types would be one of the simpler examples; IA and IB are each completely dominant over i, but co-dominant with each other. But most genes aren't nearly so clear-cut as that, and allele pairs can sometimes interact in pretty crazy ways. A better example might be human skin color, which is pretty obviously a continuum with no distinct phenotypes; otherwise, humans would only come in a couple dozen colors at most. Not only are there more than one gene, and more than a couple alleles for each one, but each allele interacts differently with every other one.
You could think of it sort of like each gene is a portion of a recipe, and each allele specifies a different amount of a particular ingredient (and some of the crazy ones even use a different ingredient, or even say to take something out). So one allele pair that says 2 tsp of salt + 1 tsp of sugar would result in something a little different than one that says 2 tsp salt + 1.5 tsp sugar, and would be completely different from 2 tsp of salt + 1 tsp of garlic.
Very few traits, compared to all the things that make each member of a species distinct, can be traced to a single dominant/recessive gene.
Most common deleterious alleles (and those are the ones you tend to hear the most about) are recessive, which makes sense. A recessive deleterious allele will not affect any of the offspring if a heterozygous carrier mates with a homozygous wild-type (barring spontaneous mutation), while a co-dominant one would affect half of them on average, under the same conditions. So that bias towards researching genetic diseases can make it seem as though genetics in general is mostly Mendelian.
Mendelian genetics are sort of like Newtonian physics. They're all you learn outside of 200 or 300-level college courses, and they only tell you just enough to get you into trouble.