SELECT g.*, j.* FROM games g INNER JOIN genres j ON j.id = g.genre1

SELECT g.id, g.name, g.genre1, g.genre2, g.genre3, j1.genre, j2.genre, j3.genre 
            FROM games g 
                          INNER JOIN genres j1 ON j1.id = g.genre1
                          INNER JOIN genres j2 ON j2.id = g.genre2
                          INNER JOIN genres j3 ON j3.id = g.genre3

array(1) {
  [0]=>
  array(6) {
    ["id"]=>
    string(3) "140"
    ["name"]=>
    string(13) "Some Name"
    ["genre1"]=>
    string(1) "1"
    ["genre2"]=>
    string(1) "2"
    ["genre3"]=>
    string(1) "3"
    ["genre"]=>
    string(6) "Horror"
  }
}

SELECT g.id, g.name, j1.genre AS genre1, j2.genre AS genre2, j3.genre AS genre3