When starting Neo Tournament and you verse Shuji, it's faster to try to get a Critical K.O. on him and to achieve only 2 double stands rather than getting three double stands in a row. If done properly Shuji should have only one gate card won from a double stand he performed (optimal) unless he started a battle which is not what you want happening. I wouldn't risk trying to perform Critical K.O's on the other two Neo tournament opponents.
In the late stages of Tag Team I feel that obtaining a full S.Power orb from the battlefield on your first throw and then using Leonidas's Special Shot on your second throw to launch a Critical K.O. attack on an opponent is faster then the previous strat used. One gate card win from you winning a battle with the first bakugan you threw, a second one from leonidas's special shot (enter battle with leonidas if attack missed if a battle can be performed) and the third either by dan getting lucky and winning a battle or if he fails, you winning another battle on your third throw.
Use the same strats for the Battle Royal tournament.
For when Marduk battles you after the battle royal segment I found that its better to collect a S.Power orb on your first throw and on your second place a gate card unless Marduk already has. Use Leonidas's special shot and on your third perform a double stand. You want Marduk to do the same. Afterwards, attempt to perform another double stand to win the battle.
I might run this game in the future.