Not really a 'last gen franchise', but I guess it has its current identity from last gen.... blarghh.... anyway....
Fallout 4
I really loved Fallout 3. I put almost 200 hours into that sumbitch. Even just another potential 200 hour expansion in a new location should have been enough to satisfy me, but it didn't.
I greatly disliked the addition of your MC having a voice. I feel it limited dialogue options significantly. As cheesy as it sounds, I felt I couldn't 'role play' as much. The base building was kind of neat at first, but it lost its luster and became annoying when I had like five settlements constantly asking for assistance. I think a single hub that you could help grow and advance would have been a lot more involving and even personal, but yeah. I also wasn't crazy about how colorful it was. I like the drab, apocalyptic look of Fallout 3. It helped pull me into the overall mood better. I was also hoping for more of a visual leap as it was a new generation and had been 7 years since F3. What I got just made me feel like I was playing a spruced up 360/PS3 game.
Sadly, between Fallout 4 and Fallout 76, my confidence in Bethesda as a developer has fallen off a cliff this gen. I have no idea if we'll even get a Fallout 5, but I hope Starfield and ESVI impress.