In what order should I play the Kingdom Hearts games

The Kingdom Hearts series consists of many prequels and side-games.
To better experience the feel of the games; it is best to play the games in the order that they were released.

The games are as follows:

Kingdom Hearts
(PS2)

Kingdom Hearts: Chain of Memories/RE: C.O.M.
(GBA/PS2)

Kingdom Hearts II
(PS2)

Kingdom Hearts 358/2 Days
(DS)

Kingdom Hearts Birth By Sleep
(PSP)

Kingdom Hearts Coded/Re:coded