If you want different drop shapes, then you need to have different fluid mechanics at work. Vary any and all of the following things:
1) Drop rate
2) Surface tension (big one!). Oil or alcohol or slightly soapy water will look significantly different than water. Probably more "ropey." If you really got super into it (and followed very strict safety precautions!), mercury would be an interesting option, too.
3) Immiscible liquids. I.e. drop oil into water or vice versa, etc.
4) Density. Adding sugar is probably the easiest way to increase density without dramatically influencing surface tension. 2 parts sugar to one part water dissolved can be almost twice as dense as water, which will obviously affect the splash characteristics. Glycerine is also significantly heavier, but not as much. Hexane (you can buy it on amazon) is reasonably safe.. use ventilation, but its density is about 65% that of water. It is extremely hydrophobic, too (see #2)
5) Temperature of the liquid
6) Velocity of the drops
7) Size of the drops (Somewhat conflated with the above. depends on things like hole diameter and rate and surface tension)
8) The drop and the liquid being dropped into having different surface tensions / temperatures / densities
9) As mentioned, different colors or opacities (milk)
Extremely dangerous options:
10) OVERsaturating the liquid with something like sugar can give it dramatically different properties. For the highest super saturations, heat water very carefully with sugar in pyrex narrow mouthed containers, and prepare safety-wise for the possibility of super hot boiling sugar liquid to explode (i.e. goggles + don't stand nearby or use a microwave, etc.). Possibility of instant crystal formation upon droplet impact, if you do it right (or drop something other than plan clean water, like charcoal or pumice)
11) OVER heating the liquid (same deal but intentionally going closer to the explosion point). Possibility of triggering explosion with a drop of water or dropped nucleation site (little bit of activated charcoal or pumice)
12) The aforementioned mercury. Even obtaining it legally would be rather difficult (lots of small amounts), and you have to always use it outdoors with multiple redundant splash and drop catching systems, plenty of personal protection, pipettes to suck up the drops that spill by submerging them in water, etc. etc.