What you have is not a 'key' per se, they are species descriptions of fin counts i.e. D=dorsal and 3/17 indicates spines vs soft rays. A true key gives a series of dichotamous mutually exclusive choices leading to the exclusion of all other taxa in the covered group.
The global information system on all fish species known to science offers also quick identification guides. For broad distinction of classes of species together called 'fish' is here: https://fishbase.mnhn.fr/identification/ClassList.php If you know the country, you can directly go to visual identification by being shown the pictures of fish recorded for that country. Note that lists may not be complete, but with 34,000 species between marine and inland water environments it's the biggest scientifically validated information system in the world. Hope that helps.
Actually what you given here is a scientific description of a fish. For identification morphological characters like structure of fins, snout,body shape, body colour, dots over body caudal fin, scutes on caudal peduncle, spine and rays on fins and opreculam, body depth,lateral line structure,pectoral fin structure are generally followed to come to a conclusion for species identification. You may consult fish base database with your general key characters.