There has been 801 animal and plant species (mostly animal) known to have gone extinct since 1500. That is animals and plants that we know of. Here's the catch we are always discovering new animals and plants so to accurately count the number of animals and plants being extinct every day is not mathematically possible. 

In 1980 there was a discovery of a tremendous diversity of insects in tropical forests. In one study 19 trees in Panama, 80% of the 1,200 beetle species discovered were previously unknown to science... Surprisingly, scientists know how many stars there are in the galaxy than how many species there are on the big Blue Marble.

But what we do know is that there are many species dying off every year for example…
The rapid loss of species we are seeing today is projected by experts to be between 1,000 and 10,000 times higher than the natural extinction rate. These experts compute that between 0.01 and 0.1% of all species will become extinct each year. If the low estimation of the number of species out there is true --around 2 million different species on our planet ---that means between 200 and 2,000 extinctions happen every year. But if the upper estimation of species numbers is true - there are 100 million different species co-existing with us on our planet --between 10,000 and 100,000 species are becoming extinct each year.

Different from the mass extinction events of geological history, the current extinction problems is caused by one single species and that would be us. People can argue politics, religion or who's right or who's wrong but there is definitely nothing to argue about when it comes to the biodiversity crisis presently affecting the earth at this time.

Worldwide we need 1.4 earths to support our life styles, we are using resources faster than they can regenerate and creating waste such as CO2 faster than it can be absorbed. We are using 40% more resources than natural can replenish each year.

Why is it--- man is supposed to be the smartest species evolved on earth, but we cannot see that our greed and wastefulness is killing off the very place which we depend on to live. Why can't humans understand this, and curb their excessive wastefulness and unrealistic lifestyles. We over fish, hunt, log, eat, drive, buy non-necessary products made of plastic, we depend on highly fertilized foods instead of planting much of what we eat ourselves.

I would say as smart as man is through many great discoveries--- we are one of the dumbest species on earth. I hope we wake up and do what is right by our home-- planet earth--- before it is too late for all species.