The "bubble" shields didn't exist until STTNG. In TOS and TMPs the shields were "skin tight." When the Ent-D came arrived in TNG we saw our first bubble-shield effect. (I particularly remember it being shown when the Crystaline Entity attempted to attack the Enterprise.)
What's interesting is that whenever we see a skin-tight shield in Star Trek, it's during a torpedo hit, and never a phaser hit. In First Contact the Enterprise-E gets hit with Borg beam weapons, and a bubble effect occurs. Later in Nemesis, the Ent-E gets hit with a torpedo and the skin-tight effect is shown.
Personally, I'm going to choose to believe that all ships have both a Polarize Hull Plating (skin-tight effect), and full blown Deflector Shields (Bubble Effect.)
I don't think the type of weapon changes the shape of the shield but if that was true would the other way round be better? What i mean is a beam hits the ship = skin tight and a torpedo hits = bubble? lol.