I don't think it's fair to include Pope Francis on that list; he's only just begun whereas we at least can decisively make a conclusion about Pope Benedict's pontificate, which has itself concluded.
Based on my very limited knowledge of the popes of this century (I was born in '88), I'd have to say I'm most connected to Pope Benedict XVI. While he didn't have the charisma and globe-trotting savvy of Pope John Paul II, I thought he did much to preserve the orthodoxy within the Roman Catholic Church. He maintained good relations with the Eastern Orthodox Church and expressed genuine but realistic yearnings for unity. I think he was just the pope that Rome needed, and I was pleasantly shocked to find out that he was willfully retiring. I think he realized his own limits, especially those exacerbated by his failing health, and chose what was right for the people to whom he's accountable. That's pretty admirable when you're the most powerful religious leader in the world.
I pray that his remaining years bring him closer to God.