The A380 can stop pretty quickly. I've flown with a couple of FOs who were A380 Captains at Emirates*. It's got good performance.
Thrust reversers are not considered for landing distance performance. Thrust reversers are not considered for rejected takeoff performance, either.
In both cases, there may be an engine problem, and so the airplane must to be able to be stopped with brakes and spoilers alone.
The extensive, and expensive, airport modifications to accommodate the A380 in the US were for larger filleting on taxiways and increased weight carrying on taxiways. No getting around the 1.2 million pounds that beast weighs when it's at max gross. The 80M wingspan was just a bit larger than the 747, so places like SFO had to re-do taxiways so that an A380 could pass by another airplane. The massive gear also requires wider turn space (filleting) as you enter and exit taxiways. For SFO, the cost was over a billion dollars. Other airports, like JFK, LAX and IAD were similar. ORD was doing huge upgrades anyway, and can accommodate the A380 now that they're complete, but I don't think any carrier currently flies one there.
The 737-900 is one of the worst performers built in recent years. The airplane is fundamentally limited by its geometry. It's long, really long, and the landing gear are short. That limits the body angle for takeoff and landing, or the tail will hit the ground. The 737-900 was sold to airlines as a 757 replacement. Marketing guys were dumb enough to believe that...
On final, a 737-900 at normal weight is about 165-170 knots. A 757, carrying as many people, and weighing more, is at 125-130 knots. Since kinetic energy is 1/2MV2 (V squared) that 30% increase in velocity is a 70% increase in energy to be dissipated by the brakes. And a 737 has four, while a 757 has eight. By the way, even the 747 landed a lot slower than a 737-900. On the jumpseat of a 737-900 landing in IAH, I was shocked by the approach speed and landing performance. It was hard to get it stopped on 27, a 10,000 foot runway at sea level. The crew was in full reverse, airplane shaking from the reversers and they were heavy on the brakes while this thing was shuddering and shaking. I contrast that with all my landings there in an A320 or 757. Idle reverse. Little or no braking until approaching the high speed turnoff and then a bit of easy braking...so smooth...so simple, compared with the shaking, bucking, white knuckle landing in a 737-900...on a sunny day, with a dry runway at sea level. I would hate to see that thing on a short runway, or in bad weather...
Takeoff is even worse on that pig. When we started flying the 737 to Hawaii from LAX, we had to operate the airplane with 40 empty seats so that it could get off the ground with fuel for the islands. Think about it: sea level runway of 12,000 feet. Can't get airborne at max takeoff weight from a 12,000 foot sea level runway. Such a dog... And it's geometry again. The tail of the 737-900 hits the ground at about 6 degrees body angle. For a 757, it's about 12 degrees. Since the airframe of the 737-900 can't get AOA, it can't make lift until it's going far, far faster than comparable airplanes like the 757-200, or the A-320.
*Let that sink in for a bit. They were Captains on the world's largest airplane. They chose to leave that job and become FOs at United. Every single one of them is happier being an FO at United than flying for Emirates...