I've been rocking out to the Kings of Leon for a while now. I've loved them ever since they came around in 1999. What I love even more is it's made up entirely of family--4 brothers!
5
What I also like is how the band has continued to evolve. They started out as southern rock and more blues-y influenced/inspired, which I enjoyed. But they've kind of expanded into more alternative, arena rock, which I really find accessible.
i like my famly
You would possibly enjoy the fact I brought up earlier about them being a band consisting of only family. But what also might encourage you to give them a try is the fact that they've had nine Top 40 singles in the UK, along with two BRIT awards in 2008, with all the first three of their albums peaking in the top 5 of the UK albums chart.
wow
Surprisingly enough though, they were bigger in the UK than in the US for a long time. Took until September 2008, with "Only by the Night" for them to see success here in the States. They earned attention with "Sex on Fire," "Use Somebody," and "Notion," which you should look up.
us for ling time 
I was happy to see them finally get success, especially as I was reading that they had worked on the album for so long, starting the writing for it right after their third album had released. The hard work showed, when the album reached top 10 in 10 different countries.