Years ago I took a class - Evolution under Domestication, part Plant/Animal Geography and part Economic Biology. Domestication was defined: 'the process of selectively breeding wild species to make the organism easier to cultivate or for simpler husbandry, and more productive in terms of the use of the organism'.
Domestication takes a long timeframe, we, today, are on the big payoff end of that process.
Some examples: Wild Lactuca (lettuce) species. None of the extant varieties of lettuce look anything like the compass plant they were originally derived from. And none of the species cultivars will grow and compete in the wild against their wild cousins. Bananas and taro are examples of species that no longer grow in the wild and would go extinct without people managing them, because they no longer produce seeds, and require human intervention in planting new individuals.
There are approximately 80,000 species of plants that produce something humans can eat. Circa 200 of those species exist as domesticated cultivars. Why? Because, basically, domesticating the plant failed. Usually because of species properties like: hard seed, seed dormancy, parts of the plant are toxic (parts of rhubarb,a species that made the grade, are not edible due to oxalates in the leaves. It was selected, I think, because it grows really well in montane environments), special pollination requirements (like figs and fig wasps: no wasps == no new fig trees). We never domesticated the Rhinoceros - anyone who tried probably got stomped or gored. The Bos genus - yak and cattle - are social animals and live in groups, so wild individuals responded pretty well to human control.
The species with problems like almonds (cyanide producing compounds in almond seeds of wild species), rhubarb and others got chosen and selected. Why? - a really large payoff, or somebody somewhere luckily found a few individuals that were not so awful, so the process of taming the animal or plant was practical to undertake.
Honey bees are extremely useful. They provide pollination for melons as well as honey. The downside of apiculture is painfully obvious.
Here is a list of fully domesticated animals, meaning mostly that they would have issues surviving and reproducing in the wild -
https://en.wikipedia.org/wiki/List_of_domesticated_animals
Check out the pet hedgehog - interesting!
Finally there are many more plants and animals that are partially domesticated. I am not going to try to search for any more on that, it is too imprecise, IMO.
Your final tally: ~200 plant species, less than 100 animals. Note that only 30 plants provide almost all of the calories for humans worldwide.
The top 30 plants provide 95% of the worlds food calories - see table 1 in:
www.eolss.net/Sample-Chapters/C10/E5-02.pdf
If you are interested you should read 'Guns Germs and Steel' Jared Diamond. It explains how geography "gave" us our domesticated species.
