I find that shrimp are just as interesting as fish to keep in an aquarium. Shrimp are very good at tidying/cleaning up the aquarium; it is a great idea to keep some shrimp whenever possible.
The easiest shrimp to keep are cherry shrimp (and its color variants), and also the Amano shrimp. The biggest cause of shrimp deaths is due to molting problems. Below are some videos of the shrimp I have personally kept.
Easy to keep shrimp: Amano shrimp, cherry shrimp (Neocaridina davidi).
More difficult shrimp: Bamboo shrimp (aka Wood shrimp), Bee shrimp (I have not tried these yet), Sulawesi Shrimp (not tried yet either).