The Bible says that no one is good. When someone approaches Jesus and calls Him 'good', He says, "Why do you call Me good? There is no one good but God." So, good people do not exist. If only good people made it to heaven, it would be empty.
Jesus also replied this way so that others would see who He truly was: God's only begotten Son, God incarnate, our Redeemer and Savior, the Christ.
That being said, the only way to Heaven is through Jesus Christ. He is the way, the truth and the life and no one gets in without Him. So, the 'requirement' is salvation through Jesus Christ, making Him your Lord and Savior and truly, through Holy Spirit, living a life that is pleasing to Him.
Faith is vital and we must remember that faith without works is dead. You must have both. So, yes, you can believe in God, yet the Bible says that even the demons believe and tremble. So, you must have works. Well, what types of works, you may ask? This isn't about ministry, though that will definitely come if you're living your life for Christ, for we are all called to the ministry of reaching out to the lost of this world and showing the love of Christ to them. The works that must accompany faith, in my opinion, is the works of freedom. This is the turning away from sins, the abstaining from sin, the standing for Christ, the proclaiming of Christ by your very life. These, I believe, are the primary works that should accompany faith, without which, faith is merely lip service and is, therefore, dead.