Busou Renkin is an older one that probably isn't thought of much anymore and possibly slipped under the radar. But it has all those things you're looking for.
The Munto series (awesome magicks and explosions), while short, is a bit long winded. I'd recommend watching the original 2 OAVs that are a little more cut and dry. Sadly, all I was able to find were links to dubbed versions with a decent amount of searching. Fairly certain you can find the subbed 9 episode series, though.
I've heard good things about Gankutsuou: The Count of Monte Cristo. That will have swords cause of the time period. Couldn't say on the quantity of fights.
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