I have a SQL database in which I store users and tags associated to users (many to many relationship). I have the classic schema with users table, tags
left join the tags table and include the id's being searched for in the join clause and check for counts in having.
SELECT u.id,u.name,GROUP_CONCAT(ut.tagid) as tags
FROM users u
LEFT JOIN usertag as ut ON u.id = ut.userid
LEFT JOIN tags t ON t.id=ut.tagid AND t.ID IN (10,20,30) --change this as needed
GROUP BY u.id,u.name
HAVING COUNT(ut.tagid) >= COUNT(t.id) AND COUNT(t.id) = 3 --change this number to the number of tags
One more option is to use FIND_IN_SET if there are limited values. For example,
SELECT * FROM (
SELECT u.*, GROUP_CONCAT(ut.tagid) as tags
FROM users as u
LEFT JOIN usertag as ut ON u.id = ut.userid
GROUP BY u.id
) T
WHERE FIND_IN_SET('10',tags) > 0 AND FIND_IN_SET('20',tags) > 0