Star Alliance and Oneworld both have several cities in Poland priced in mid-$500s for travel beginning in mid-August. LOT Polish flies nonstop LAX to Warsaw and ticket prices are slightly higher at $600 or so to fly LOT. American/Finnair/British Airways are lowest ticket prices, closely followed by United Airlines.
LAX – Gdansk GDN $545 Aug 21-29 AA ticket flying Finnair SFO-HEL (LOT $600).
LAX – Krakow KRK $556 Aug 20-29 United ticket flying Swiss.
LAX – Wroclaw WRO $558 Aug 20-29 United ticket flying Lufthansa and Swiss
LAX – Krakow KRK $535 Aug 20-30 British Airways AARP discount