This is certainly an impressive list of F1 machines and an even more impressive list of victories. Having said this, I'd argue his record is even more impressive if you consider the 2007-2009 Toro Rosso cars to be Adrian Newey designs. If you include the STR2, STR3 and STR4, then Vettel's win at Monza in 2008 in the STR3 (I believe based on the same design as the RB4) not only adds yet another victory to this tally but also means that only three Newey designs from 1991 onwards have failed to win a grand prix (MP4/21, RB3/STR2 and RB11). Also, I think McLaren won 7 races in 2000 (4 for Mika Hakkinen and 3 for David Coulthard).
I find it interesting that he seemed to experience something of a lean spell in the mid-to-late 2000s, in the seven seasons from 2002 to 2008 his cars scored just five wins in this period if you exclude the MP4/20 (the 2005 McLaren won twice as many races as his other designs from those seasons put together). I do wonder whether McLaren benefitted from the single tyre rule in 2005, even more so than the other Michelin teams such as Renault, as they did much better that season than they did in either 2004 or 2006, with the exact opposite being true for Bridgestone-shod Ferrari. It's ironic that the only other Newey car from 2002 to 2008 to win multiple GPs was the MP4/17D in 2003, which was only used that season due to the issues with the MP4/18, yet Kimi Raikkonen was able to finish just two points short of Michael Schumacher in it.
2005 McLaren for sure benefitted from single tyre rule/Michelins. Back then Michelin did bring different kind of tyres for the teams to the tests and teams could choose the best suited tyres for them to use (said by Kimi, last year).
At Monaco 2005 Mclaren was able to use softer tyres than Renault, due to them being gentle to the tyres and we all know Kimi being one of the most gentle driver to the tyres as well.