What are the relationships between or among different organisms?

It depends on which Kingdom they are in. There are five kinds of Kingdoms:

Animalia (Animal)

Protista (Amoebae)

Fungi (Mushrooms)

Plantae (Plants)

Prokaryotae (Basically any orgasims that do not fit the other kingdoms or the "dumping ground")

For example any organisms in the same Kingdom would be related, no matter how distantly.