The New York Yankees and the Los Angeles Dodgers. One of the great rivalries in baseball.

To me, it remains the greatest, and only in part because these teams have met in a World Series 11 times, by far the most championship matchups in baseball history.

With a 12th Fall Classic pitting them now suddenly very possible … well, I would love to see it.

The Dodgers lead the Chicago Cubs 3-1 for the National League championship, and the Yankees have surged to a 3-2 lead over the Houston Astros for the American League title.

If the Dodgers win tomorrow and Yankees follow suit on Friday, their collision would be set — the 12th, as noted, but the first since 1981.

Older fans of the game would love to see this happen. And broadcasters would certainly not mind, given that New York is the biggest TV market and Los Angeles is No. 2, and both clubs are more than a little popular.

A clash of titans!

(Before more Yankees-Dodgers stuff, let’s point out that perhaps for the first time in baseball history, the four teams still in contention represent the four most-populous cities in the country — New York (8.3 million), Los Angeles (3.8 million), Chicago (2.7 million) and Houston (2.2 million.)

Dodgers-Yankees World Series are not only No. 1 in frequency, they have produced some of the greatest competitions in the history of the game.

Their series went the full seven games three times (in 1947, 1952 and 1956) and lasted six games four times (in 1953, 1977, 1978 and 1981).

Even the Sandy Koufax-led Dodgers’ 4-0 sweep, in 1963, was notable because it marked the first time the Dodgers dominated the Yankees — outscoring them 12-4 and never allowing them the lead in a game.

In 1956, the Yankees’ Don Larsen pitched the only perfect game in World Series history.

Modern fans are likelier to remember (or to have heard about) key moments in more recent matchups: Reggie Jackson’s three home runs (earning him the sobriquet “Mr. October”) in the decisive Game 6 of 1976; Bob Welch’s clutch whiff of Jackson to win Game 1 in 1977; Mr. October’s infamous hip swerve to ruin a double play in the pivotal Game 4 of that same series; the Dodgers’ three consecutive one-run victories (5-4, 2-1, 8-7) to overcome a 2-0 deficit in 1981, including rookie Fernando Valenzuela’s gritty, 149-pitch complete game in Game 3 that capped a season of Fernando-mania.

Yankees versus Dodgers.

Dodgers versus Yankees.

Clayton Kershaw, Justin Turner, Kenley Jansen, Cody Bellinger, Chris Taylor, Yasiel Puig … against Aaron Judge, Luis Severino, Gary Sanchez, Aaron Hicks, CC Sabathia, Brett Gardner …

Each team has some work to do, but it would be like the good ol’ days, brought to life.