What activities am I allowed to do with Achilles tendonitis?

Try cycling, swimmin. Swimming is the best. Try cycling too. I would avoid negatives, toe raises, and treadmills.
No Jumping/Hiking. More important question is what activities you should not do. You should not do any jumping, hiking, walking up or down hills/slopes, running, or in general anything that causes pain in the back of your heel when you participate :).

Related Questions

How to know what I am allowed to do with Achilles tendonitis?

Achilles . If you have been diagnosed by a dr. With achilles tendonitis you should be told to rest it and not do any type of activity that will inflame the area. Rest ice compression and elevation is the gold standard. If u self diagnosed see a dr. Before it gets worse. Read more...