…and then the american verison came out in 1988 of the original SMB2 in JP from 1986.
You don't got it. Or maybe you made an error when you typed. To reiterate...blah, let me color code it. Red is SMB2J based, purply blue is YK:DDP based. Flags are also provided to show what was released where (Japan and US only).
1986 — Super Mario Bros. 2
1987 — Yume Kōjō: Doki Doki Panic
1988 — Super Mario Bros. 2
1992 — Super Mario USA
1993 — Super Mario Collection
(contains Super Mario Bros. 2 and Super Mario USA)
1993 — Super Mario All-Stars
(contains Super Mario Bros.: The Lost Levels and Super Mario Bros. 2)
1997 — BS Super Mario USA
1999 — Super Mario Bros. Deluxe
(contains Super Mario Bros. for Super Players)
2001 — Super Mario Advance
2004 — Famicom Mini: Super Mario Bros. 2
2007 — Super Mario Bros. 2
(Virtual Console)
2007 — Super Mario Bros. 2
(Virtual Console)
2007 — Super Mario USA
(Virtual Console)
2007 — Super Mario Bros.: The Lost Levels
(Virtual Console)
EDIT: Added GBA titles as reminded by Mß; added BS Super Mario USA just 'cause.