BAE systems is responsible for about 15% of production, things from rear fuselage etc.
Rolls-Royce builds the LiftSystem for the F-35B variant.
Martin-Baker builds the ejection seats for all F-35s.
Leonardo builds the wing sets.
Rheinmetall is planning to build fuselage for a large number.
Kongsberg developed the Joint Strike Missile meant to be carried inside the fuselage to maintain stealth profile while engaging targets at long ranges.