Fundamentally, Bruce Lee was discussing being flexible in one's training and practice of the martial arts. It's not a specific technique, but rather always being willing to consider the situation, to choose the right approach for every situation rather than to decide on a best approach and then apply it everywhere. Specifically within martial arts, this involves training multiple methods to deal with a given attack, or to deliver an attack, and to adapt your style in practice based on changing circumstances. To give a concrete example from my own martial art, Capoeira, I might train a defense against an incoming meia lua (inside crescent kick) by doing a side dodge, or I might drop into a crouch and turn away from the kick to start my own. I might just step out of range, or step forward to rob the kick of its power. Those are all ways I might train the movement, by myself or with a partner. When actually sparring, I might do any one of those things depending on how I'm feeling and how my opponent is reacting. I might even do something completely different, like miming actually being hit in an exaggerated fashion, in an effort to change the game to a more playful one.
Similarly, one might train a simple technique like a front kick in various ways, from changing the target (striking at different heights or to one side or the other) to changing the stance it's delivered from (from a traditional back-leg technique from a front stance to a quick teep off the front leg to delivering it from less stable positions like as you're standing from a lying position). And similarly, when in sparring or a fight, you might choose to deliver it in different ways based upon how the situation evolves.
Honestly, it's never going to be possible to be entirely "like water". As is often pointed out, what you practice, what you drill, is what you will likely do when under pressure, and that reflexive action is necessary to be able to fight with any degree of success. But the more you practice different reactions, the more likely it is that you can pick an appropriate one for the situation, even in reflex.