You can directly enter the reading you want into the WK search box in kana, it will give you all the kanji that contain the reading. In jisho you can search for #kanji こう for example for more search results.
If you are interested in kanji that share readings by composition you can use my semantic-phonetic script, but it only gives you a part of kanji with a particular reading.
For similar or opposite meanings you can see synonyms and antonyms (as some rough lists).