First, wrong forum.
Second, specify "ORD AA NRT" and v.v. in the advanced routing area.
Boston (BOS) to Taipei (TPE) - Tue, Jan 13
American Airlines Inc. Boston (BOS) to Chicago (ORD) - Tue, Jan 13
American Airlines Inc. 289 Dep: 7:01AM Arr: 9:05AM 3h 4m Boeing 737 Economy (Q)
Layover in ORD 3h 15m
American Airlines Inc. Chicago (ORD) to Tokyo (NRT) - Tue, Jan 13
American Airlines Inc. 153 Dep: 12:20PM Arr: 4:40PM 13h 20m Boeing 777 Economy (Q)
Layover in NRT Wed, Jan 14 18h 35m
Japan Airlines Tokyo (NRT) to Taipei (TPE) - Thu, Jan 15
Japan Airlines 805 Dep: 11:15AM Arr: 2:35PM 4h 20m Boeing 737 Economy (G)
Taipei (TPE) to Boston (BOS) - Wed, Jan 21
Japan Airlines Taipei (TPE) to Tokyo (NRT) - Wed, Jan 21
Japan Airlines 804 Dep: 1:20PM Arr: 5:20PM 3h 0m Boeing 737 Economy (G)
Layover in NRT 1h 10m
American Airlines Inc. Tokyo (NRT) to Chicago (ORD) - Wed, Jan 21
American Airlines Inc. 154 Dep: 6:30PM Arr: 3:30PM 12h 0m Boeing 777 Economy (Q)
Layover in ORD 3h 5m
American Airlines Inc. Chicago (ORD) to Boston (BOS) - Wed, Jan 21
American Airlines Inc. 1426 Dep: 6:35PM Arr: 9:49PM 2h 14m Boeing 737 Economy (Q)
Cost per passenger (including taxes & fees) $1,021.80
Total cost for 1 passenger $1,021.80
Finally, ORD would be the shortest routing. Try DFW or LAX for more miles.