Good Team Comp for 5v5s?

Hi guys, my friend and I recently started a 5v5 team, and we are working hard to get better. We've tried out bunches of different team compositions, and we've been doing ok. We definitely think that we could make better ones though, and we're looking for suggestions.

Our champion pools are pretty big, although mine as the AP carry is probably the smallest. I can play Ryze, Morgana, and Kennen as my main 3, and TF, Malzahar, and Ziggs are my next 3 favorites.

Are there any team comps, preferably specific that could help us? Thanks.