The next generic sheets weren't issued until Jerusalem 2006. It is a set of 2 flower sheets issued May 8th, 2006. Both sheets have a printing date of March 21st, 2006, and I have not seen a reprint of either. The sheets were offered for sale in bulletin 23. I have seen some personalized versions of these sheets, but they had the same print date as the generic sheet.
The next generic sheet offered was the My Stamp - Blue and White pictured here. To date, it has undergone ten separate printings. It was placed on sale on August 27th, 2007 and listed in bulletin 30. The first printing date was May 15th, 2007, and it was followed by a second printing on November 17th, 2007. 2008 brought an additional 2 printings, June 17th and November 6th.
2009 brought a new twist to the generic sheets. For Passover, the philatelic service offered a package of a children's Hagaddah and a sheet of stamps picturing Afiko-Man (and you thought my puns were bad!). This sheet has a printing date of February 4th, 2009 and the sheet was offered in bulletin 39. The first day of issue was March 3rd.
This pattern was continued when the Pope visited Israel later in the year. Two different generic sheets were printed for the occasion, on before the pope visited, with pictures of sites He would see, and one after he left showing the pictures of the Pope in Israel. The first sheet was printed on March 24th and issued on May 4th, and the second on May 15th with a June 1st issue date. Both were offered for sale in Bulletin 40.
I will discuss the additional printings of this sheet in part 3.