without using drastically different EQ settings on a bass amplifier preamp, for me the key is to have a bass guitar with both bridge and neck pickups, tone/EQ knobs with a wide range, and using different techniques to enhance the "woof" or presence as needed. Discrete bass, mid & treble tone knobs will give you a lot if flexibility.
Using a Schecter Stiletto Studio Elite as an example, round wound strings:
Reggae: 100% neck pickup, roll off treble tone and also back off mid. Boost bass tone to taste. Enhance the low end roundness of the tone by playing finger style over the neck pickup. Add some mid and play with a pick, palm muting the strings for a less woofy, more defined percussive sound.
Generic pop: 50/50 blend neck and bridge, all tone knobs at default settings, adjusted +/- to taste. Play closer to the bridge for more presence, toward the neck for more low end roundness. Play with either fingers depending on the flavor of the song: dance and funkier stuff may lean toward fingers, straight ahead rock may lean toward a pick.
modern R&B: 100% bridge pickup, adding bass tone for more body as needed. Add treble for more attack presence, control excess "honk" with the mid tone. Play with fingers over the bridge pickup.
etc...just my personal method to the madness
what kind of bass you got?