They are two entirely different categories of software, really. Evernote, while it can be used as a place to keep lists, is really a lot more than that. You can store documents, pictures, lists. It makes handwritten notes searchable. The paid version lets you take a picture of a business card and have the information added to your contacts. It relies primarily on tagging and searching as an organizational method. If all you want is to keep lists, it's overkill. The basic service is free so, I recommend you download it and play around. It's a subscription based model. I've forgotten exactly what you get for each price tier.
Notes (Apple's software) has expanded a lot and can be used for a lot more than simple text notes now. It's also worth exploring.
If you use the other Microsoft programs or use a Windows computer, OneNote is worth looking at. It's not my favorite but it's on my work computer so, I use it on my personal devices as well so that I can access the work information. I don't find it a replacement for Evernote but it has some nice features. At work, I use it for keeping my rather complicated, multi-level task lists.
Wunderlist is a list keeping program, more akin to Reminders than it is to Evernote. People speak well of it as a list program.