We hear this question often. Here's the scoop: all of the types of supplements you listed can be taken with food. “Take with water” simply means you should at least take it with enough water so you don’t choke on it (with or without food doesn’t matter enough to worry about).
When a label says to take it a specific way (i.e. with food, without food, etc.) or at a specific time of day (i.e. at the start/end of a meal, at night, etc.), it’s important to follow those recommendations, but that's it unless your doctor or health care provider has stated otherwise for your personal needs.