Just IMHO, if a world where supers exist, the police would have standing response teams with things like anti-material rifles, laser designators, and possibly mortars or more probably recoilless rifles. WIth a low velocity projectile of that type, you could have a scaled up capture net, bean bag "non-lethal" rounds, or cannister or shaped charge rounds. Sniper attacks would be the norm, with the more destructive stuff called out only when necessary. Has anyone seen the "AD Police" anime? WOrld of "Bubble Gum Crisis" relatively normal police dealing with rogue combat robots, cyborgs, etc. Not a job for those with families.
National guard could have somewhat heavier equipment, I like an armored vehicle with a "gun Mortar" and an autocannon. The mortar can fire direct or as an indirect fire with guided rounds. the autocannon would be designed for accuracy and have at least 2 types of ammo, AP and area effect, maybe just one hex in game terms, in which case there would be an HE type round for blowing holes in walls, etc. Basically an Armored fighting vehicle Optimized for Urban fighting ans small targets.
Anti-tank weapons like Predator or SPIKE would be popular too.