Do any of Obama's appointees NOT have any tax issues????
I did a search and found a list of appointees on Yahoo Answers. By process of elimination based on your post, the answer to your question is that the following appointees do not have tax problems.

State: Hillary Clinton
Defense: Robert Gates
Justice: Eric Holder
Veterans Affairs: Eric Shinseki
Energy: Steven Chu
Homeland Security: Janet Napolitano
HUD: Shaun Donovan
Commerce: Bill Richardson
NSA: General James Jones
Chief of Staff: Rahm Emanuel
OMB Director: Peter Orszag
UN Ambassador: Susan Rice