Tonoplast is the membrane of vacuole. Vacuole is storage area of the cell, contains all various stuff you like, like useless molecules, storage molecules, dyes etc.
Lysosome contains all various hydrolytic enzymes and is responsible for break down of big molecules like proteins and stuff.
Vesicles are small vesicles ( 😆 :roll:), which are responsible mainly for transport or storage of now-not-needed proteins like receptors, which can be fastly utilized in this way. They don’t have any enzymatic activity by themselves.

just a correction: vacuole and lysosome are actually the same organelle, that has specialized somewhat in animals vs plants. Plant cells have no lysosomes and animal cells have no vacuoles. The fact that plant biologists call the membrane of the vacuole tonoplast doesn’t mean anything, it’s just a membrane. But they are the same organelle: indeed, the plant vacuole does carry out digestion function, just like the animal lysosome (though in plants the vacuole has specialized to carry out some storage roles as well). Yeast cells are said to have "vacuoles", but really their vacuoles are more similar to animal lysosomes than they are to plant vacuoles.
The reason we call them two different things is that they were discovered independently in the two kinds of organisms, and they look different. Long ago how something looked like was the only thing you had to go by, so early biologists concluded they were two different things. Now we know better.