The majority of the things to do in Amed has to do with diving. This area has one of the best places to do some scuba diving in Bali.
Not only do divers like to discover the marine life in this area, but they also take the boat up to Tulamben where you can find other popular diving sites.
Amed's beaches are rocky and/or have black sand and there are no waves so it is not popular among sunbathers and surfers. So as you can imagine this part of Bali is still one of the quietest and let's hope it remains that way.

View of Amed Bali from the boat
Besides diving there are other things to do in Amed such as discovering the beautiful nature and rich culture of Eastern Bali.
There are many tours leaving from Amed which mainly show the highlights of this part of the island, such as climbing Gunung Agung, visiting the waterpalace at Tirta Gangga and hiking or cycling through the country side.
Tours can be arranged almost at every hotel and other places such as Jukung Diving and Amed Cafe which offer a long list of things to do in Amed.

Things to do in Amed: hop on a traditional Jukung fishing boat
There are some other details I think I should mention before you go...
Forget about going shopping in Amed Bali!
The number of shops is minimal with just a shop that sells hand made jewelry and tiny supermarkets scattered around the various villages.
And as for nightlife...don't expect anything like south Bali. Maybe there is more going on during the high season such as live music, but during the low season expect quiet evenings under the stars. Places where you have the chance of running into live music are Wawa Wewe, Cafe Garam and Pazzo Restaurant and Bar.
Here are the things to do in Amed:
Diving:
There are many dive resorts and operators in this part of the island who offer tours to sites off Jemeluk, Lipah and Selang.
Here you are able to see coral slopes, drop offs with soft and hard coral and an abundant of fish. Dive operators also offer padi courses, so you are able to do your first dives here too.
Snorkeling:
It is very popular to rent a Jukung, a traditional boat, in the morning and set off to a nice snorkeling area.
Most snorkellers start off at the Japanese wreck at Aas. But there are other places just of the coast of Jemeluk, Selang and Lipah beach. It also possible to just go for a swim in front of your hotel to see some coral.
Hiking Gunung Saraya:
A thing that isn't often done and not widely promoted is hiking Gunung Seraya. But it's possible to reach the summit by yourself.
Just east of Jemuluk Bay there is trail that leads you the way. Vegetation is scarce, but if you leave early in the morning you'll be treated with a nice sunrise.
Salt Winning Production:
In this area you are still able to see the traditional way of salt production.
Cafe Garam/Hotel Uyah has created a large area where you can learn about the whole process of salt winning.
Along the main road of Amed Bali you can also buy little bundles of original sea salt.
Spa:
The only independent spa in Amed, which is not part of an hotel is the A-spa.
It's located in Bunutan and it has just been renovated. Prices range from USD18 to USD30 and they offer transportation.
An other idea is opting for a quick but less luxurious massage offered at the beach.
Boat Tours:
If you want to enjoy the sea without getting wet then there are wonderful options.
Almost everywhere in Amed Bali you can hop on a traditional fishing boat for a sunset tour.
In Batu Belah there's a glass boat tour so you can enjoy the marine life, while Condor sailing (located at Hotel Uyah Amed) offers various types of Bali cruises on their wooden schooner.