Miami Heat: House Baratheon
They may be in power right now, but many are skeptical about their legitimacy as champions. Fans quibble about LeBron and company unfairly stacking the deck in their favor like the smallfolk of Westeros and political rivals try to undermine House Baratheon's rule with talk of incest and broken lineage.
Like King Robert, Pat Riley led the rebellion that put his team in power and completely reshuffled the power balance in the league. But as it is said, the smallfolk "pray for rain, health, and a summer that never ends. They don't care what games the high lords play." Peasants like myself aren't bothered by how it happened, we just want to watch good basketball and House LeBron, I mean the Heat, have provided plenty of that.
Oklahoma City Thunder: House Targaryen
After a brutal exile, both the Thunder and House Targaryan are rebounding nicely but have yet to reclaim elite status. The Targaryens were taken from power, family members were slaughtered, and then they resurfaced in a far off wasteland. Seattle fans feel that pretty much the same thing happened to their team a few years ago when the Sonics moved to OKC.
Scott Brooks had three dragons of his own--Durant, Westbrook, and Harden--that looked poised to lead the Thunder for years. But like Daenerys and her quest to take what is hers, there are unexpected obstacles along the way. This comparison would work better if, after trading Harden away to Houston, the Thunder killed the entire Rockets front office, burned down the Toyota Center, and took Harden right back.
Cleveland Cavaliers: House Stark
The Cavs were so close to the top of the mountain; they could have taken the throne for themselves. Those LeBron James led teams of the late 2000's had excellent records but missed opportunities to take the crown and, all of a sudden, all hope was lost with one "decision".
LeBron's choice to bring his talents to South Beach must have felt a lot like Ned Stark's decapitation for Cavs fans and the fallout that ensued definitely had an anger and sadness that would make George R.R. Martin proud. After the "decision", the Cavs bannermen burned jerseys and attempted to revolt with their new King in the North, Kyrie Irving.
Like the Starks, the remaining young people have given hope to the city of Cleveland. Bran's magic is second only to Dan Gilbert's son's ability to win the draft lottery and Arya and the Cavs young core have the potential to get revenge one day, but it's still an uphill battle. And Kyrie, for the love of god, DON'T GO TO ANY WEDDINGS!