An Israeli who supported a child who is not his child for at least 12 months. Each additional child gets an additional NIS 556. No strings, no income restrictions, tax free. A nice deal for families with children. Demobilized soldiers get a special subsidy.
Big families can get a reduction on their water bill.
The AACI offers all new immigrants a 6 month free membership. Free counseling and advice on aliyah issues. Various classes and social functions. Discounts at a variety of businesses around Israel. It's worth your while as a new immigrant to check out the AACI and see if they offer some benefits for you.