May 16 JL0872 PVG-NRT 9:00_13:00, 1:35 layover, JL0415 NRT-CDG 14:35-20:10 52.5K AA miles in J. That itinerary works most days, and a few dates also have availability on QR via DOH.
May 26, 29 or 30 QR0112 FCO-DOH 11:30-18:05, 7 hr layover QR0888 1:05-1:50, 52.5K in J
or May 27 AY0782 FCO-HEL 11:20-15:45, 1 hr 20 min layover, AY0057 17:05-7:10+1, 35K in Y. Finnair should be bookable online at aa.com.