Berker/Serhiy, weak ref. list question:
Could also the pysqlite_Statement.in_weakreflist member go? Seems to be ok:

$ git diff --shortstat
 3 files changed, 13 insertions(+), 72 deletions(-)
$ ./python.exe -m test -R : test_sqlite
0:00:00 load avg: 0.83 Run tests sequentially
0:00:00 load avg: 0.83 [1/1] test_sqlite
beginning 9 repetitions
123456789
.........

== Tests result: SUCCESS ==

1 test OK.

Total duration: 5.7 sec
Tests result: SUCCESS