Bulletin 44 brought to light this sheet. It was for Family Day (as well as Valentine's day, I guess). This sheet has the same May 4th 2009 printing date as the above sheets, but it lacks both the pricing information seen on the smiling stamp sheet, and the admin printing message under the photo that Mark indicates a personalized order. So, I will call this printing 1A. The first day for this sheet was February 1st, 2010.
To date, there have been 5 additional printings of this sheet. The second and fourth printings of the sheet, from June 5th 2009 and April 7th 2010 were aimed at children, with Disney themes. The first sheet features Hannah Montana, the Jonas Brothers, and Mickey Mouse Clubhouse. This sheet was offered in bulletin 41 as well, however it has a price of 37 NIS printed on it. The first day of issue was July 15th, 2009, and I believe the September 9th date shown on the sheet was the first date that the Disney Channel was on in Israel. The second sheet features only the gang from Mickey Mouse clubhouse, and was offered in bulletin 45. The price on the sheet has risen to 38 NIS, and the day of issue was May 2nd, 2010.
The third and sixth printings were for Hanukkah 2009 and 2010. The 2009 sheet was printed on October 29th, 2009, was listed in bulletin 43 and issued on November 19th, 2009. It shows the 38 NIS price for the sheet. the 2010 edition also shows the 38 NIS price, but has a printing date of October 24th, 2010. The first day was November 9th, 2010 and I have not yet seen it offered in the philatelic bulletin.
So, you might have noticed that I left out the fifth printing (if you didn't, you can scroll back and check). The fifth printing was on February 9th, 2010. The only time I have seen this printing is on the Cabbage Head sheet shown here. I don't believe this is a customized sheet, since it lacks the printing info under the picture on the left. The sheet is being sold on E-bay by several dealers, and they show a first day of October 13th, 2010. This sheet does not have the price on it though, so I am not sure what to make of it. Regardless, it is a new printing date. Perhaps it will be offered by the philatelic service in an upcoming bulletin.