Not only 2nd game: if you enter a waiting battle room, leave and then enter again in a waiting room, its the same crash.
Running as Admin and Win XP SP3 compatibility mode in both .exe solved that issue for me (running Win10x64).
Now I still crash from time to time, but certainly less, sometimes I can even play more than 10 games in a row.
Also try using FRAPS while playing NF (just leave open in background), solved a lot of problems for many fleetmates running win 10 and 8.