A lot of it boils down to personality. I play guitar and sing lead vocals in a band with a second guitarist, a bassist, and drummer. I, and the guitarist, are extremely extroverted. When we play shows, we're incredibly intense, always come out sweating like crazy, hair plastered to our faces, voices hoarse, etc. The bassist is very laid-back, he tends to sit back and just groove along. We have some parts that are semi-choreographed (every once in a while, I'll do a roll over the bassist or the guitarist, or they'll do it over each other; we also flip our guitars a lot). The drummer is an absolute maniac. He had to invest in a pair of gloves and back-up cymbals for our shows because he just beats the shit out of everything. He's an incredibly loud person in real life, while the bassist is quiet, and the guitarist and myself are also very extroverted.
There's also a lot of open communication. When there are cues during solos, or even transitions, we'll look at each other, lift our guitars, the drummer nods his head, etc. A lot of the time, we play off each other, the solos often reflecting ideas that other musicians have played before.
A lot of the stage presence just comes from being comfortable with each other as people and musicians. I play drums in a band where we haven't rehearsed together as a whole too much, and our on stage show is very quiet. We watch the band leader/singer for cues when to come in and out, etc, just because we haven't played the material together often enough.
The kind of music plays a role as well. In a folk band, you wouldn't really see guys jumping all over the place, smashing amps, flipping guitars, and just going mental on stage, right? My band is a power pop band (think boys like girls meets paramore if hayley williams was a dude). We're just animals. If we played more relaxed music, I don't think we'd put on the same stage show.