Patent search:
US patents: http://patft.uspto.gov/
International patents: http://www.wipo.int/pctdb/en/index.jsp
European patents: http://ep.espacenet.com/
Israel patents: http://mashkonot.justice.gov.il/MOJEng/RashamPatentim/default.htm
Trademark search:
US Trademarks: http://tess2.uspto.gov/bin/gate.exe?f=tess&state=68cttd.1.1
International Trademarks: http://www.wipo.int/madrid/en/services/madrid_express.htm
European Trademarks: http://oami.europa.eu/ows/rw/pages/QPLUS/databases/searchCTM.en.do
Israel Trademarks: http://www.trademarks.justice.gov.il/TradeMarksWebSiteUI/TrademarksSearch/TrademarksSearch.aspx