First of all i would like to mention that no skill is needed to get started, there are no risks since no real money deposits will be made from your wallet.
The key in obtaining a free bankroll is usually finding a site that is affiliated with the gambling site you want to play at. This can be quite difficult sometimes..
I put up a selection of websites that i found and used, so i can guarantee for their services.
I will post bellow some of the best sites i found, they give a free bankroll for any new poker player guaranteed. There are some casino offers as well. Registering at these sites includes identity confirmation, new users must upload a copy of their ID to get approved, once this is done all feature of the site are available.
PokerStrategy - The free bankroll site that has everything
PokerStrategy will get you started at any poker room in just minutes with a free bankroll and free training, this site is a must have for any player. From all the gambling community accounts i treasure PokerStrategy the most, and there are several good reasons for it: Hundreds of freerolls and special tournaments, free bankrolls for most of the popular poker rooms and last but not least lots and lots of training articles.
About the free bankroll - PokerStrategy will reward any new player with a generous $50 + $100 free bankroll, this means $50 upfront and another $100 during play.
Even for advanced or depositing players PokerStrategy can be just as great, this site can be used for getting latest news about whats going on in the online poker world.
BankrollMob - Listing free bankroll offers casino and poker alike
BankrollMob presents only bonuses, no deposit and deposit, poker and casino they list everything. Best part is that all bonuses have description and country eligibility.
Singup process is similar to PokerStartegy, but slightly faster.
There are many bonuses, see full list at "free bankrolls" page at BankrollMob, from $5 up to $199 and even casino bonuses of $500, i think BankrollMob is also a great site to start at, and build a free bankroll.
