BEAUTIFUL, impish, impulsive and, well, a homicidal maniac, Villanelle (Jodie Comer) may be one of the most intriguing characters on television today. I’m often allergic to tales of professional assassins, but she’s so quirky, charming, unpredictable and dismissive that you can’t help falling into her wicked web.

The stylish, smart and addictive series “Killing Eve” (8 p.m. Sunday, BBC America, AMC, TV-14) enters its second season. You can’t say it’s allowed any time to elapse since the first. The action picks up 30 seconds after MI5 agent Eve (Sandra Oh) plunges a knife into Villanelle and escapes under a cloud of conflicting emotions.

For starters, Eve doesn’t know if Villanelle is dead or alive, or whether she’s been pursuing her out of duty to the agency or driven by a very twisted attraction.

For her part, Villanelle remains convinced that she and Eve are fated to be together. Not even a possibly fatal knife wound can dissuade her from the thought that you only hurt the one you love.

Part of the odd fun of “Eve” is how insanely consumed each character is with the other. This becomes apparent when others intrude, waking them from their obsessional reverie.

At one point, Eve is confronted by a stranger, who calls herself a “friend,” who suggests that she try going to “meetings.” Rattled to the core by her cat-and-mouse intrigue, Eve is delighted and relieved to be perceived as a mere junkie.

It’s hardly spoiling anything to reveal that Villanelle survives to resume her pathological ways, bleeding all over the streets of Paris like a stunning, stylish Terminator.

A critical hit and Emmy winner for BBC America, “Killing Eve” will now also be available on AMC as the second season begins.

Look for Fiona Shaw as Eve’s boss at MI5. She can be seen in a very similar role in the equally engaging “Mrs. Wilson” on “Masterpiece” (9 p.m., PBS, TV-14, check local listings), concluding tonight.

• AMC is not only sharing “Killing Eve” with BBCA, it has borrowed the addictive “A Discovery of Witches” (9 p.m. Sunday, TV-14) from the streaming services Shudder and Sundance Now.

A must for fans of “Outlander,” this melodramatic fantasy stars Teresa Palmer as historian Diana Bishop, who learns that she’s actually a witch with extraordinary powers and attracts attention, good and bad, from a well-embroidered hierarchy of warlocks, vampires and demons.

Look for Matthew Goode (“The Crown”) as an ancient vampire scientist who sees Diana as the key to a new breed of special creatures. An outstanding ensemble cast tends to outshine the central character. Truth be told, Diana’s a rather bland object of desire. But so was Kristen Stewart’s character in all of those “Twilight” movies.

• A new nonfiction series from prolific producer Dick Wolf (“Law & Order”), “Murder for Hire” (7 p.m. and 10 p.m. Sunday, Oxygen, TV-14) profiles people who have been targeted for murder by business partners, loved ones, relatives and neighbors.

First up: An addiction therapist hires a troubled client to kill her ex-husband after a bruising divorce. Little does she know that her would-be killer has the wherewithal to contact the police and arrange an undercover sting.

• What can a 1940 novel still tell us? Rashid Johnson updates Richard Wright’s acclaimed novel “Native Son” (10 p.m. Saturday, HBO, TV-MA), a tale of a young black man, Bigger Thomas (Ashton Sanders), as he finds his way in an uncertain world.

A bike messenger by day, Bigger charts a radically individualistic course for himself, rejecting the entreaties of friends to get into the drug business or to help out, just one time, as a school friend plans an armed robbery. His big break comes when a family friend (David Alan Grier) helps land him a position as a driver to a Chicago mover-and-shaker, a perch that offers him a perspective on the wealthy, connected and powerful.

Artist-turned-director Johnson concentrates on atmosphere, creating an urban scene more fantastic than real. Bigger doesn’t quite know who he is, but he knows what he’s not. He emphatically rejects cultural cliches (like basketball and hip-hop) about young black men.

Saturday highlights

• Auburn and Virginia meet in the NCAA men’s Final Four (6 p.m., CBS), followed by Texas Tech and Michigan State (8:30 p.m.).

• Ryan Seacrest hosts “American Idol” (8 p.m., ABC, r, TV-PG).

• A greedy developer threatens a community garden in the 2019 romance “True Love Blooms” (8 p.m., Hallmark, TV-G).

• A personal stylist worries as her best customer goes from clinging to obsessive in the 2019 shocker “My Killer Client” (8 p.m., Lifetime, TV-14).

• Kit Harington hosts “Saturday Night Live” (11:30 p.m., NBC, TV-14), featuring musical guest Sara Bareilles.

Sunday highlights

• Scheduled on “60 Minutes” (7 p.m., CBS): An interview with a hedge fund manager who believes today’s capitalism has destroyed the American dream; veterans recall the role of the Aleutian Islands during World War II.

• Reba McEntire hosts the “54th Academy of Country Music Awards” (8 p.m., CBS).

• Elimination duels on “World of Dance” (8 p.m., NBC, TV-PG).

• Hearts and flowers on “Supergirl” (8 p.m., CW, r, TV-PG).

• NFL playoffs increase gambling activity on “Action” (8 p.m., Showtime, TV-MA).

• A campus death has occult overtones on “Charmed” (9 p.m., CW, r, TV-PG).

• Work/home conflicts on “Good Girls” (10 p.m., NBC, TV-PG).

• Brandon faces multiple crises as “The Chi” (10 p.m., Showtime, TV-MA) returns for a second season.

• Candidates vie for the blessings of a pompous Silicon Valley tycoon on “Veep” (10:30 p.m., HBO, TV-MA).

Cult choice

Baltimore buddies (Steve Guttenberg, Mickey Rourke, Kevin Bacon) evade adult responsibilities as the 1950s give way to a new frontier in director Barry Levinson’s 1982 comedy “Diner” (10:30 p.m. Sunday, TCM), a film that set the template for a generation of sitcoms.

Saturday series

Two helpings of “Dateline” (8 p.m., NBC, r, TV-PG) ... No trifling matter on “MasterChef” (8 p.m., Fox, r, TV-PG) ... Maddie goes missing on “9-1-1” (9 p.m., Fox, r, TV-14) ... A vintage helping of “Saturday Night Live” (10 p.m., NBC, r, TV-14).

Sunday series

Lisa’s original musical seems very familiar on “The Simpsons” (8 p.m., Fox, TV-14) ... A shock jock lives up to his reputation on “Bob’s Burgers” (8:30 p.m., Fox, TV-14).

On two helpings of “Family Guy” (Fox, r, TV-14), Peter becomes a White House spokesman (9 p.m.), Brian worries about posterity (9:30 p.m.) ... Snacks from Argentina on “Shark Tank” (10 p.m., ABC, TV-PG).