Si los me gusta son números únicos, seguir debería funcionar.
anterior:
SELECT * FROM table WHERE likes < (SELECT likes FROM table WHERE id = ID) ORDER BY likes DESC LIMIT 1
siguiente:
SELECT * FROM table WHERE likes > (SELECT likes FROM table WHERE id = ID) ORDER BY likes ASC LIMIT 1
Puede cambiar 1 de ellos a <=o>=y agregar WHERE id != ID