Super Mario Bros.
September 13, 1985
The first game in the Super Mario series is also a Mario Bros. game, therefore being a crossover between the two series.
The gameplay retains many elements from Mario Bros. such as the ability of knocking out enemies from below platforms, but it adds an adventure element, which is defining for the Super Mario series. The Koopa Troopa enemy is also clearly based on the Shellcreeper enemy from Mario Bros. though it can be stomped, unlike enemies in the original game. This game also prominently features green pipes, mainly for Mario to enter, and they're likely based on the pipes from Mario Bros.' that were used by enemies.
Every subsequent game in the Super Mario Bros. series is also considered a crossover between the two series.
Super Mario Bros. Special
This Super Mario Bros. remake for NEC PC-8801 features all elements from the original game, but it also adds Sidesteppers and Icicles from Mario Bros.
Super Mario Bros. 2
October 9, 1988
The second western Super Mario Bros. game features the POW block originally from Mario Bros. however it was actually taken from Yume Kojo: Doki Doki Panic, so this is only an undirect reference.
This version of the POW block also returns in the New Super Mario Bros. series.
Super Mario Bros. 3
October 23, 1988
The third Super Mario Bros. game features a 2 player Battle Mode which reproduces the original Mario Bros. Shellcreepers have been replaced by Spinies, to avoid confusion with Koopa Troopas. This change was left in later remakes of Mario Bros.
Super Mario Land
April 21, 1989
The Fighter Fly enemy from Mario Bros. returns in this game, though simply called Fly. It behaves the same way, but it can be stomped, unlike in its original appearance.
Super Mario World 2: Yoshi's Island
August 15, 1995
The POW Block from Mario Bros. makes another appearance in this game, arguably part of the Super Mario series. It's been heavly redesigned, but its use is the same as in the original game, being hit from below to defeat all opponents onscreen, and can be used up to three times. It only appears in The Cave of the Lakitus twice, but there also is an item version of it that can be used anywhere once.
Super Mario Advance
March 31, 2001
In the Super Mario Bros. 2 remake included in this game, a cutscene has been added before the fight with Clawgrip, where it's shown that he is a Sidestepper, transformed into Clawgrip by Wart's magic bubbles.
Copyrights for both series are held by Nintendo.