The border between the two types of throw can be unclear, and many throws will exhibit characteristics of both reaps and trips, however, the difference is that a reap is one smooth move, like that of a scythe, whereas a hook is pulling the opponents leg up first, and then swinging it away.
Common leg trips are hooking variations of Ouchi Gari and Osoto Gari along with Kosoto Gake, referred to as inside and outside trips in Western wrestling.
Sacrifice throws require the thrower to move into a potentially disadvantageous position in order to be executed, such as falling to the ground.
In Judo, these throws are limited to a specific grade and higher due to the element of danger that is placed upon both the uke (receiver) and the tori (thrower).
Common pick-ups are lifting variations of the double leg takedown, Judo's Te Guruma or sukui nage (both classified as hand throws Ganseki otoshi) and the suplex from wrestling, in which the attacker lifts their opponents body vertically and throws the opponent over their own center of gravity while executing a back fall (usually accompanied by a back arch).
Variations of the suplex are common in most forms of wrestling and sometimes used in mixed martial arts competition.
This is not an exhaustive list and the techniques may be referred to by other names in different styles.