steel string acoustic,is there any other type out there for acustic?

Classical guitars, which are used mainly for classical music, are acoustic ( that is, non-electric) but take nylon strings and will be destroyed by steel strings as Tony mentions. (That caution cannot be repeated often enough - one can't assume that everyone reading an answer will know these things.). Same with the flamenco guitar, a variant form of the classical. There are also lots of Central and South America guitar family folk instruments with various numbers of strings (some take steel, some nylon).

Nylon is the modern substitute for gut. The steel-string flat-top guitar developed from gut-string ancestors, so very old ones (say 1800s-early 1900s) may also need nylon even if they don't look like classical guitars.

And getting away from your question a bit, there are also quite a few different types of steel string acoustic besides the flat-top six-string that is most popular these days.

There are lots of types of acoustic guitars including steel string flattop, steel string archtop, classical, and resonator.

There are two types of acoustic guitar: steel string and nylon string. You must use the type of string the guitar was designed for.

nylon string. they use them for classical music and mariachis