The word "reachy" is not commonly used in the English language, and thus, has limited antonyms. One could argue that the opposite of "reachy" would be a word that indicates limited or restricted access. Possible antonyms could include words such as inaccessible, unattainable, unreachable, or out of reach. However, it's important to note that these antonyms all have slightly different meanings and connotations. For instance, "inaccessible" may imply that something is physically impossible to access, while "unattainable" suggests that something is impossible to achieve. Regardless, the antonyms for "reachy" share a common theme of expressing a lack of ability to attain or touch something.