Alias of Subquery not working
Try this:

SELECT correct_picks, points, pick_user_id, bp, (bp + points) AS total, user_user_id, username, avatar_date, avatar_width, avatar_height, gravatar, gender
FROM
(
SELECT COUNT(game.game_id) AS correct_picks, 
       SUM(game.points) points, 
       pick.user_id AS 'pick_user_id', -- Alias to avoid same name with user.user_id

       (SELECT SUM(game.points)    
    FROM xf_nflj_pickem_pick pick
    LEFT JOIN xf_nflj_pickem_game game
    ON game.game_id = pick.game_id
    WHERE game.bonus=1 AND pick.user_id = user.user_id 
        AND game.week_id &lt;= 8 AND game.winner = pick.team_id
    GROUP BY user.user_id) AS bp,

       user.user_id AS 'user_user_id', -- Alias to avoid same name with pick.user_id
       user.username, 
       user.avatar_date, 
       user.avatar_width, 
       user.avatar_height, 
       user.gravatar,  
       user.gender 
FROM xf_nflj_pickem_game game   
    LEFT JOIN xf_nflj_pickem_pick AS pick
    ON (pick.game_id = game.game_id)        
    LEFT JOIN xf_user AS USER
    ON (user.user_id = pick.user_id)
WHERE (game.winner = pick.team_id) 
    AND game.week_id &lt;= 8
    AND game.pool_id = 1
    AND pick.team_id &lt;&gt; 0               
GROUP BY pick.user_id 
) tbl1 -- Alias for the subquery as table
ORDER BY (points + bp) DESC, username, pick_user_id ASC;


Made your query into a table(as a subquery) then used the ORDER BY (points + bp) DESC, username, pick_user_id ASC.

It seems like mysql does not allow using the aliases of the column to be used in the same line or hierarchy as the aliased column.