http://kegel.com/wine/chromium/ now has a precompiled tarball containing 13 of chromium's test programs: app_unittests base_unittests courgette_unittests googleurl_unittests ipc_tests media_unittests net_unittests printing_unittests sbox_unittests sbox_validation_tests setup_unittests tcmalloc_unittests unit_tests (These are, more or less, all the ones that run in under a minute on Windows. There are some big tests left, but I figured this was enough to chew on for a while.)
http://kegel.com/wine/chromium/failures.txt lists the 50 test cases which fail (but not crash) in which executable. http://kegel.com/wine/chromium/chromium-runtests.sh.txt has a little documentation, and shows how to skip the handful of tests that crash or hang.
I'm slowly starting to file bugs and/or testcases for these, starting with http://bugs.winehq.org/show_bug.cgi?id=20495. (It took me a while to do that one today - writing the wine test case was easy, but figuring out why it passed but the real test didn't required pulling out the important part of the logs for both and flipping back and forth between them in an editor. Once I did that, it was trivial.)
I don't actually expect the sandbox tests to work any time soon, but they're there if anyone's interested. - Dan