In modern American usage, the predominant meaning of "half and half" is the one involving 50% milk and 50% cream (they're usually homogenized). The other beverages listed here are almost certainly allusions to the original. Also note that unlike the others, half-and-half is rarely considered a drink; it's added to coffee, tea, or other beverages when something lighter than cream is desired.

Finally, note that this means calorically lighter. Ironically, the "heaver" a given volume of a milk/cream mixture gets due to cream content, the lighter its weight.