Randy Foye had some big games with the Jazz. Maybe not the assists but scoring wise he did. Some players do well in both systems, some suck when they leave the Jazz and I can't think of too many who have excelled once leaving Utah (Dell Curry had a good career and did nothing in Utah).
Shannon Anderson - never was as good as he was with the Jazz.
Deron Williams - I know his numbers have been down but that has mostly due to injuries. When he is healthy he plays great.
Howard Eisley - did nothing when he left the Jazz and I am sure most fans think he didn't do much with the Jazz but I think he played better under the Jazz system.
Karl Malone - He played well even though he was hurt and not the primary player. Had a big playoff game against Houston 33 pts 15 rebounds just before he got hurt. Malone is great no matter what.
Blue Edwards - did nothing but play decently with the Jazz
Mo Williams - had a decent career both with the Jazz and with Cleveland
Ronnie Brewer - Jazz system made him offensively. Turned into a journeyman once he left the Jazz.
Matt Harping was a better player on the Jazz until he got hurt. Still a decent player with Orlando. About the same maybe a little better with jazz.
AK - Better with the Jazz - mostly about effort which is why he is a shell of the player he was.
There are a ton of players who played well or had a role with the Jazz and did squat with other teams.. Bobby Hansen, John Crotty, Big Dog, Foster, Red head kid from stanford (man getting old sucks)
Carlos Arroyo - One good year and he thought he was the next John Stockton, went to detroit and bombed then Miami and now is in Europe. He was a douche-bag who should have appreciated the Jazz organization and the fat contract he got for having a decent year in Utah.
Boozer - not as good as he was on the Jazz -seems to have been healthy away from the Jazz. I think age has something to do with it and the fact that he has been really exposed as a bad defender.
AL Jefferson - having a better year and playing better defense
Millsap - I know he made the All-star team but he might just be slightly better in Atlanta mainly because he is one of the main guys there. I just think Millsap would be the same player anywhere he goes because he works hard and plays hard despite some ridiculous rantings on Jazzfanz contrary to this fact.
Stockton - I think his game fell apart once he went into retirement. However, I've heard he can still school his kids. Dude would be great if he played with the Washington Generals.
I think there a lot of factors that determine the success or failure - age, injuries, bad fit, coaching changes or team gets better player so role changes or just plain laziness.