Control LEDs

I want an easily customizable way to control the LEDs on the robot, so here's a list of certain patterns I would want for the LEDs (R is red, W is white). If the :

-Off
-Solid Color
-Flashing Solid Color (custom input for length of time between flashes)
-Gradient (transition from one color to the other over the length of the LED strip)
-Solid Stripes (for example, 3 red, 3 white, 3 red, etc), customizable number of stripes, color of the stripes, and length of the stripes
-Fade (fade from one color to the other color, more generally from any pattern to any other)
-Moving Stripes (slides down the LED strip)
-Alternating Colors (for example, one loop cycle it is [RWR], and the next [WRW], could include alternating stripes as well)
-Flames
-Entirely Random Colors
-Organized Random Colors (instead of being totally random, there is an input of the avaliable colors for the randomizer, such as white, red, and blue, then every LED picks a color from the input at random)
-Moving Point w/ Fading Trail (there's a point of light that moves along the strip, and there is a slow fade behind it)