This is a long conversation that even us chemists have a hard time describing. The *problem* is, chemistry deals with matter. If it can be touched, or seen, it is made of matter, and matter is made of chemicals. This would mean, that everything deals with chemistry (I won't get philosophical here)
For example, take any life form. Its basic makeup is that it is a carbon life form. Carbon is a chemical, and makes up the basis for DNA, RNA, etc of all life.
Another example is petroleum. Petroleum is hydrocarbon chains which are extracted (by the aid of water, which is a chemical, or fire (combustion of a chemical)) and distilled (separation of chemicals by burning chemicals to create heat), to create fuel for automobiles (made of iron and plastic chemicals).
The area of Chemistry is so large, that, essentially, every scientific occupation deals with chemistry (medical doctors, pharmacists, biologists, engineers, etc...)
When you mentioned that chemistry seems physic-like, you are correct, but the similarities with other areas of science do not stop there. It deals with all scientific areas.
The definition of general chemistry would be...hmmm.. the scientific study of everything
This topic is huge, I'll stop here.
This is just my $0.02