If you don't want to face any problems with government it's better for you pay taxes to government on time. Because really it is wise decision so you will not be in any problems if you pay taxes on time to government.
Officially most people here are subject to certain tax laws that also apply to Bitcoin, but you can't blame people for not declaring their tax files in full honesty.
If you play it well, then there is barely any risk in having governments know that you have been avoiding tax through Bitcoin where you get a hefty penalty as result.
You will have to avoid using exchanges where you verify yourself with all your personal details, and also payment services and bank accounts. Basically everything that is asking for your information.
Buying and selling coins should be done locally where you meet up somewhere and complete the deals. It's of course not without risk, but at least you can obtain Bitcoin without verification and all other hassle.
If you want to do trading where you want to put your coins to work, then there are exchanges such as btc-e where you don't need any verification in order to start trading.
Just make sure you don't cash out fiat as you then might get forced to verify yourself. They can lock your coins until you come through with sufficient enough details and scans.