There is a fare war happening from LAX between Star Alliance and SkyTeam with Star Alliance fares at $421 round trip for LAX to Venice, Italy (SkyTeam Alitalia country) and $409 LAX to Amsterdam (SkyTeam KLM country). Most dates offer lowest fares from late October through end of schedule March 2018, except December holiday season.
Swiss Airlines LAX – Zurich ZRH – Venice VCE – Zurich ZRH – LAX
$420.49 round trip Sat Nov 18 – Sun Nov 26 (Thanksgiving week)
Venice is under $600 from Sep 3 – Oct 20 and under $500 from October 21-28 before dropping to $421 on October 29. Ticket prices are over $600 Dec 15-30, then drop again to $400s Jan 1.
Star Alliance has LAX to Amsterdam at $395 to $409 round trip for October to March 2018.
United Airlines Los Angeles LAX – Chicago ORD – Amsterdam AMS – Washington IAD – LAX