Neil Patrick HarrisNeil Patrick Harris’ best role for CBS is not as the ever-smarmy Barney in “How I Met Your Mother”  but as apparent host-for-life of Broadway’s big awards night.

Harris returns to host The 67th Annual Tony Awards (CBS, 9 p.m.) where “Kinky Boots”  leads all shows with 13 nominations followed by “Matilda the Musical” and the revival of “Pippin.” You may get a good idea of how all three play on stage by the end of the night.

“Game of Thrones” (HBO, 9 p.m.) solved its biggest problem this season — too many characters — with one messy ceremony last week, one that readers of George R.R. Martin  saw coming from the original books 13 years ago. Tonight, for the season finale, there’s considerable mopping up to do as all sides ramp up to the inevitable warring.

Are drugs agreeing with the “Mad Men” (AMC, 10 p.m.)? Roger Sterling had his mind expanded with LSD, Don Draper nearly drown in a Hollywood pool after having some hash last week, and who knows how a deep toke of pot will affect Pete Cambell. A season finale is coming for this fine show as well, but not until next week.

Drugs are the least of the problems of the youth at risk in “The Killing” (AMC, 9 p.m.). Yes, you should be watching.

Seven months after we saw the people on “Falling Skies” (TNT, 9 p.m.) they’ve begun to make their home in Charleston, S.C. and started to miss Boston.

Game two of the NBA Finals has San Antonio at Miami (ABC, 8 p.m.).

Allison Janney returns to the West Wing, or very near to it, but this time as a journalist, interviewing Salina Meyers on a pivotal episode of “Veep” (HBO, 10 p.m.).

One of the great parts of “Family Tree” (HBO, 10:30 p.m.) are the carefully recreated fake British sitcoms and the people who bond over them.

Teresa and Caroline sit together at a table and try and decide whether to talk or to flip it on “Real Housewives of New Jersey” (Bravo, 8 p.m.).

“Ice Road Truckers” (History, 10 p.m.) starts its seventh season; its ice seeming a welcome respite from the heat.

“Mountain Men” (History, 9 p.m.) begins its new season tonight as well.

A trio of crime comedies play: “The Lavender Hill Mob” (TCM, 8 p.m.), “A Slight Case of Murder” (TCM, 9:30 p.m.) and “A Slight Case of Larceny” (TCM, 11 p.m.).

It’s St. Louis at Cincinnati (ESPN, 8 p.m.) in Sunday Night Baseball.

Sunday Talk

ABC: Sens. Dianne Feinstein and Mark Udall, Reps. Mike Rogers and Keith Ellison. CBS: Sens. Kelly Ayotte and Kirsten Gillibrand, Reps. Jackie Speir, Elijah Cummings, John Dingell and Mike McCaul. CNN: Udall, Cummings, Sen. John McCain, former Reps. Robert Wexler and Tom Davis. Fox News: Sens. Rand Paul and Ron Johnson, retired Gen. Michael Hayden, Mary Matalin, Bill Kristol.