England, whose manager Gareth Southgate made 10 changes from the side which beat Nigeria 2-1 at Wembley on Saturday, dominated possession against a mostly unadventurous Costa Rica but created few clear chances.
Jack Butland starts in goal with Ruben Loftus-Cheek also earning a starting berth against their fellow World Cup finalists.
While England's World Cup lineup has begun to take shape in Southgate's mind, he said there remained some openings for players who can make an impression.
"Football's coming home" chanted fans throughout a largely encouraging display from Southgate's young squad, who have a brief break before meeting up and heading to Russian Federation on Tuesday.
The only other time these two teams met was in the 2014 World Cup, which was a notoriously (what some would call boring) 0-0 draw.
Roy Hodgson's already-eliminated side brought the curtain down on their terrible finals foray with a lifeless goalless draw in Belo Horizonte. We could field a back four of Yorkshiremen, no problem with who we have got.
Excitement about the Three Lions' first visit to Leeds in 16 years was palpable and only fuelled by building World Cup anticipation.
The highlight was Marcus Rashford's stunning strike on 13 minutes, the Manchester United forward picking the ball up outside the visitors' area and lashing a thunderbolt into the back of the net that left keeper Keylor Navas stunned.
Fans hailed the 20-year-old for his sparkling performance, which saw him opening the scoring with a sublime 25-yard strike.
Worldwide friendlies - Follow the Football match between England and Costa Rica live with Eurosport. Should Alexander-Arnold impress against Costa Rica, Kieran Trippier could lose his place.
After the break, Jordan Henderson forced a fine save from Navas, before the win was sealed in the 76th minute.
England's rhythm was then stunted by five quickfire substitutions, including a debut for Burnley's Nick Pope in goal.
Hopefully it will be the 4-4-2 in a bar beat of Terrier Brass that will inspire England to success against Costa Rica and then the rest of the world in Russian Federation in the next month.
England were unable to find a way to add a third but emerged victorious - and seemingly without injury.