The lightest elements, hydrogen and helium, give the simplest spectrum. Hydrogen produces a clearly discernible violet, blue-green, and violet bands. Helium produces violet, blue, blue-green, yellow, and red. Neon has several bands, mostly in the yellow-red end of the spectrum which is characteristic of the neon signs.
Every element will have a characteristic set of colored bands when viewed through a diffraction grating. These colors depend on the electronic structure of the element. The hydrogen spectrum is the simplest, because it has the simplest electronic structure.
We have to excite the elements to higher energy levels. The power supply does this. When the electrons "fall back" to a lower energy level, a photon is emitted that has a characteristic wavelength. We are only able to see the wavelengths in the visible spectrum. In general, there are many other spectral lines that we cannot see that are in the ultraviolet and infrared regions.