user153: Mt. Gox's sign-up page states:

Please be advised that accessing your account via the Tor network
  and/or public proxies may result in a temporary suspension of your
  account, and having to submit AML documents.

Are there other exchanges which do not have such a restriction (e.g. for transfers and account balances below $1K USD for instance?)

user15134: Cryptsy is TOR friendly- allowing users to both access the site and maintain accounts via TOR. This is as of 04-08-2014. Conditions may change soon due to "us" accepting USD. 

user1319: BitInstant seems like a nice Tor-friendly option (they even accept deposits in cash): https://www.bitinstant.com/

153: <p>Mt. Gox's sign-up page states:</p>

<blockquote>
  <p>Please be advised that accessing your account via the Tor network
  and/or public proxies may result in a temporary suspension of your
  account, and having to submit AML documents.</p>
</blockquote>

<p>Are there other exchanges which do not have such a restriction (e.g. for transfers and account balances below $1K USD for instance?)</p>
 15134: <p>Cryptsy is TOR friendly- allowing users to both access the site and maintain accounts via TOR. This is as of 04-08-2014. Conditions may change soon due to "us" accepting USD. </p>
 1319: <p>BitInstant seems like a nice Tor-friendly option (they even accept deposits in cash): <a href="https://www.bitinstant.com/" rel="nofollow">https://www.bitinstant.com/</a></p>
