Ultimate QRSS kit (no GPS) has now been running for a full 24 hours using the Weak Signal Propagation Reporter (WSPR) mode. The figure comes from the WSPRnet page.
With an output power of about 150 mW to an 80 m horizontal loop it has not been possible to reach beyond Europe so far. Perhaps this will happen in the future with better conditions and/or with some more output power.
Added 26.9.2012: I made it for the first time across the Atlantic!
Timestamp Call MHz SNR Drift Grid Pwr Reporter RGrid km az
2012-09-26 00:50, LA3ZA, 10.140262, -26, -2, JO59fu, 0.2, WB2EEE, FN21xh, 5852, 290