This is a very impressive port of the arcade game, much more faithful than the extremely poor official port. I do have a couple issues though. Please don't take this as me being negative, I just want to voice my honest thoughts.
For reference, I'm playing BurgerTime in the WinVICE emulator, using the cycle exact version, and have tried it in both PAL and NTSC.
Using the pepper is EXTREMELY sensitive. In fact at first I thought it had a bug where it would use two peppers at once. Then I realized that it just keeps using peppers until the button is released, or until you run out. However there's practically no time between them, so an average button press will often use two at once.If you hold the button down, you can use all five peppers in about half a second. I would like to suggest that each button press only use one pepper, and then not use another one until the button is released and pressed again.
When you complete a level and the last piece of the last burger drops to the bottom, the lettuce on that burger disappears. This doesn't affect the game in any way, it just looks wrong.
Finally, I often find it hard to get off ladders onto a platform. It seems like there's more margin for error if you're slightly above the platform than if you're slightly below it. To be honest, I haven't played the arcade game in quite a long time, so I don't know how accurate this is, but I find that a lot of my deaths happen because I'm not quite high enough on a ladder to get off onto a platform. Similarly, I sometimes have trouble quickly getting onto a ladder because I'm not positioned squarely enough on it. Maybe I'm unfairly criticizing it here, but to me it seems kind of picky about the positioning.
In any case, I love the graphics and sound and think you've done an amazing job. This is what the official port should have been like. :)