Shaw starts for United for the first time in 219 days, his first start since coming after with an injury against Swansea in April.
United still need a win to confirm top spot in the group and Mourinho still names a relatively strong team, with Antonio Valencia, Ander Herrera, Paul Pogba, Marcus Rashford and Romelu Lukaku all starting.
Manchester United - Romero, Valencia, Lindelof, Smalling, Shaw, Herrera, Blind, Mata, Pogba, Rashford, Lukaku.
CSKA Moscow - Akinfeev, Fernandes, V. Berezutskiy, Ignashevich, Vasin, Nababkin, Kuchaev, Golovin, Vitinho, Chalov, Dzagoev.
In Spain Barcelona rest Lionel Messi for their final match against Sporting Lisbon, along with Marc-Andre ter Stegen, Samuel Umtiti, Jordi Alba, Andres Iniesta and Sergio Busquets.
Chelsea start Cesc Fabregas next to Tiemoue Bakayoko and N'Golo Kante, with Marcos Alonso given a rest as Davide Zappacosta and Victor Moses start.
Antonio Conte keeps his first-choice attacking pair of Eden Hazard and Alvaro Morata.
Atletico Madrid give a start to former Blue Fernando Torres on his return to Stamford Bridge.
Chelsea - Courtois, Zappacosta, Azpilicueta, Christensen, Cahill, Moses, Fabregas, Kante, Bakayoko, Hazard, Morata.
Atletico - Oblak, Gimenez, Savic, Lucas, Luis, Thomas, Gabi, Koke, Saul, Torres, Griezmann
The Catalans have already secured top spot in their group so use the opportunity to rest some of their stars and give some fringe players a chance.
Barcelona - Cillessen; Semedo, Piqué, Vermaelen, Digne; Vidal, Rakitic, D. Suárez, André Gomes; Suárez, Álcacer
Sporting - Patrício; Piccini, Coates, Mathieu, Ristovski; Carvalho, Battaglia, Acuña, Fernandes, César; Alan
In Germany Bayern Munich know they need a big win over PSG to top the group and they start James Rodriguez, Franck Ribery and Robert Lewandowski.
PSG show their intent by starting their front three of Neymar, Kylian Mbappe and Edinson Cavani.
Bayern Munich - Ulreich - Kimmich, Süle, Hummels, Alaba - Rudy, Tolisso - Coman, Rodriguez, Ribéry - Lewandowski
PSG - Areola - Dani Alves, Marquinhos, Thiago Silva, Kurzawa - Verratti, Rabiot, Draxler - Mbappé, Cavani, Neymar