What’s On: ‘This Is Us’ meets Stallone, ‘black-ish’ confronts post-partum depression, ‘AHS: Cult’ tones down gun violence

A critical checklist of notable Tuesday TV:

This Is Us (9/8c, NBC): Even legendary movie tough-guy Sylvester Stallone gets all mushy in the world of this first-rate tearjerker. He’s surprisingly affecting playing himself on the set of Kevin’s (Justin Hartley) new war movie, rekindling some long-repressed daddy issues. But that’s almost a breeze compared to brother Randall’s (Sterling K. Brown) high anxiety over the impending arrival of a foster child, which could be the greatest challenge his seemingly perfect family has yet faced.

black-ish (9/8c, ABC): Emotions are also running high in the Johnson home, especially where new mother Bow (Tracee Ellis Ross) is concerned. After the birth of fifth child DeVante, her mood swings indicate a first-ever bout with post-partum depression, and the concerned family’s response is both warm and funny—and dramatic, when Bow and hypercritical mother-in-law Ruby (Jenifer Lewis) finally have it out.

Brooklyn Nine-Nine (9:30/8:30c, Fox): Now that their prison ordeal is over, Jake (Andy Samberg) and Rosa (Stephanie Beatriz) can get back to wacky police business as usual. Unhappily yoked to his desk, Jake pleads with Capt. Holt (Andre Braugher) to be assigned a case, but Holt’s evaluation of his conduct could decide his future on the beat. Rosa is more obsessed with her boyfriend Pimento (Jason Mantzoukas), who she believes is cheating on her. And hell hath no fury like Rosa even under the best of circumstances.

American Horror Story: Cult (10/9c, FX): Even TV’s most outrageously graphic franchise knows when it’s gone too far. This week’s episode, accurately titled “Mid-Western Assassin,” opens on a scene of horrific gun-related carnage at a political rally, filmed two months ago. Intended to reflect our violent culture in a particularly savage and typically twisted manner, the scene has been deemed by FX to be possibly too traumatic for some viewers in the wake of last week’s unthinkable tragedy in Las Vegas. “Substantial edits” have been made in the scene that will air on FX, with the unedited version available On Demand and on FX’s streaming platforms.

Inside Tuesday TV: For those who weren’t around for the original, or would rather relive it than The CW’s trashy remake premiering Wednesday, Dynasty: The Complete Series is being released on DVD as a 57-disc set, featuring all 217 campy episodes of the 1980s phenomenon. … It was fun while it lasted, but the blind auditions are a wrap on NBC’s The Voice (8/7c). That usually means it’s all downhill from here. … Larry Wilmore guests on the second episode of ABC’s The Mayor (9:30/8:30c), in which Courtney (Brandon Micheal Hall) tackles his first big issue: restoring the music program at his childhood elementary school. … As The CW’s premiere week continues, The Flash (8/7c) compels the team to break Barry (Grant Gustin) out of the speed force, but will he be the same Barry who went in? And on DC’s Legends of Tomorrow (9/8c), with the timeline now broken, Rip (Arthur Darvill) returns to put the Time Bureau in charge. But when Rory (Dominic Purcell) discovers Julius Caesar (Simon Merrells) is up to his old tricks in, of all places, Aruba, the team decides to steal back the Waverider, even if it means crossing their own Rubicon.