Martinchillz,
I suppose the general answer is no, it doesn?t matter. In terms of ranking a domain, these TLD?s are pretty much equal.
That being said, there are some caveats to this statement. For instance if you have a country specific TLD, then it can be more difficult to rank it in countries that it does not apply to. For instance ranking a .AE (for United Arab Emirates) in the U.S. would be rather challenging based on the way that Google and other engines deliver search results to their users.
Another thing is less related to the technical side of SEO and has more to do with user perception of TLD?s. For casual internet users, little else exists besides .com, .net, .org, or .edu. There are undoubtedly others that lay people are aware of like .gov however my point is that people tend to place more trust in the more common TLD?s. Especially those that are used by websites they commonly frequent.
Sometimes a business will come up with a clever use for a particular TLD such as about.me?s website for personal branding. The .me TLD works great for them.
Another thing you might hear around the web is that .edu?s, .orgs, .govs and other specialized TLD?s carry more weight in terms of backlinking than do more common TLD?s such as the .com. This is not true and all else being equal, these TLD?s carry the same weight as their more common counterparts.
Here is a good writeup on TLD?s,
http://www.highervisibility.com/blog/do-local-tlds-matter-in-seo/
Hope that answers your question,
Shawn