There are no flying Mosquitoes at the moment after the tragic crash of the last one in around 96. Ironically, when that one crashed, it was planned to be donated to the BBMF; a Lanc, Spitfire, Hurricane and Mossie formation...now that would have been something to see!
The Germans tried many times to replicate the Mossie's performance, versatility and ease of construction but never managed it much to Goering's frustration. The Ta-154 Moskito was the nearest they got to doing it but as suggested, they never cracked the adhesive. They had similar problems with the He-162 jet fighter, the wooden wing tips of which had a tendency to delaminate and break apart at high speed (this characteristic also accounted for at least one RAF test pilot post war).
The Kiwi Mossie project is looking good however so fingers crossed.
Regards,
MM