Are you looking for 1000 different proxy accesses, or just one that can flip through 1000 different IPs? Also, got any idea how much traffic you’re gonna need?
If you're talking about one proxy access with 1000 different IPs, you can totally find something like that. Just pick any provider from the local marketplace that offers unlimited IP rotation (you were already given a link above).
One nuance is that not all providers can offer IPs from different countries under one proxy access. However, that's also manageable - just buy several proxy accesses, each from a different country, though this will likely increase the cost.
Generally, the cheapest option is usually server proxies (data center proxies).