Everything in the universe is spinning - planets, stars, galaxies, etc. It would take an enormous amount of energy to start a planet spinning. To solve this, advocates of the Big Bang Theory claim that the singularity that blew up in a sudden big bang was spinning before it exploded, thus everything within it was spinning as it flung out. The problem is Venus, Uranus, and Pluto are spinning backwards (Retrograde Motion). If something spinning clockwise blows up, all of the pieces will be spinning clockwise (the Law of Conservation of Angular Momentum). The Big Bang explains Retrograde Motion as cosmic impacts on planets that have stopped and then reversed the spin. This is not acceptable, since many small impacts would be largely self-defeating, and the force of impact necessary to stop and reverse the spin of a planet all at once is incredible, so much so it would certainly leave a mark -- probably take a huge chunk out of the planet! At the very least, it would upset the orbit. Yet Venus has a retrograde spin and is nearly flawless in both its shape and orbit.
Besides the significant problem of retrograde spin, some natural satellites have a retrograde orbit around their planet. Jupiter, Saturn, Uranus, and Neptune have satellites orbiting in both directions. Once again, how can Big Bang cosmologists solve this dilemma without violating the Law of Conservation of Angular Momentum?
Also, the Big Bang Theory contradicts observed phenomena. For example, the Big Bang Theory is unable to explain uneven distribution of matter throughout the universe resulting in galactic "voids" and "clumps". If the Big Bang was true, all matter would be (roughly) evenly distributed.
In the universe, there are too many “large scale structures” to form in a time as short as 10-20 billion years, as suggested by the Big Bang Theory. Also, when observing globular clusters (groups of tens of thousands, to one million stars), they appear older than the universe, which falsifies the Big Bang Theory. Finally, there are contradictions between the Big Bang Theory, and thoughts of various religions.