That can be a pretty big question, and it can be a loaded one. Some animations are cheap and cheerful, whilst others are seriously complex beasts. Good and original animation by definition of the style and the way its produced can take a LOT of labour, so its fair to draw from that, its not going to be cheaper than filming and editing something. Today, there are more and more template driven systems and mass produced methods to reduce the hours and hence the cost, but these result in everyone having the same look and feel. If all you need is an MVP ( minimum viable product ) for your current project, then there are savings that can be had. If you want something kind of special and original, it will take longer and cost more.
If you have some complex ideas, with lots of characters and lots of detailed settings, its going to add up a lot more than one character on a simple single background. For us to form a meaningful budget and not just an estimate with floating end price, we need a brief with details. We will need the style of thing you like and the duration.
You can grab examples from our site or the internet these days. Its important that we both understand what you like the look of. Animation is a complex beast and does not really tweak very easily. We like to get the brief right up front as much as is humanly possible. We can help guide you through the process to make it smooth.
Contact us for some better indication on current pricing.