Anything funny or serious. It doesn't matter. I just want to get a discussion going. I would like to see something like the arc cannon or "gravity cannon" from District 9. Another idea I had is called the "Time Rifle." When you shoot it at an enemy, he's forced into a slo-motion state. It's sorta like the slow-time shout in Skyrim except only the target is slowed down. You can either mow em down with a gun and he dies in slow-motion or you go in for the kill and do an awesome hand to hand finisher.
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I'm going to assume several things here: Assume open-world. Assume co-op based shooter. I'd like to see more melee combat. We're getting nitty-gritty futuristic here, so bullets/energy for guns could get pretty tight. Javelin/Thrower weapon: Something to impale people with. Tech from the art didn't look too realistic, so we'll likely see a high amount of physical projectile weapons. >< Damn this is hard to theorize without more information. I'd really like to see what the vehicles are going to be however. Vehicle combat in shooters has always been a strong point of bungie's and I can't imagine they'll leave it out of Destiny.