Design de banco de dados ruim, mas, supondo que você tenha que conviver com isso:
SELECT h.name
FROM tblhobby h
INNER JOIN tblavailable_hobby ah1
ON h.hobby1 = ah1.available_hobby
INNER JOIN tblavailable_hobby ah2
ON h.hobby2 = ah2.available_hobby
INNER JOIN tblavailable_hobby ah3
ON h.hobby3 = ah3.available_hobby
EDITAR :Respondendo a reviravolta proposta nos comentários abaixo.
SELECT h.name
FROM tblhobby h
LEFT JOIN tblavailable_hobby ah1
ON h.hobby1 = ah1.available_hobby
LEFT JOIN tblavailable_hobby ah2
ON h.hobby2 = ah2.available_hobby
LEFT JOIN tblavailable_hobby ah3
ON h.hobby3 = ah3.available_hobby
WHERE (h.hobby1 IS NULL OR ah1.available_hobby IS NOT NULL)
AND (h.hobby2 IS NULL OR ah2.available_hobby IS NOT NULL)
AND (h.hobby3 IS NULL OR ah3.available_hobby IS NOT NULL)
