Anyway, it seems it hosts a micro atx board inside, thus maybe there's an hard disk.
These scopes come with a standard ATX intel mainboard. They are still supported by LeCroy and parts are still available.
But frankly, I'd probably not even take them for free. The first one (WaveMaster) is pretty much not repairable as the large dent in the front bottom edge means that its front end section will have been smashed. The second one (WavePro) will most certainly have a cracked mainboard (which is pretty cheap to replace, though, those intel boards often go for a few bucks), and the large slit on the side very likely means that a lot of the internals (i.e. display controller board, the 4port gbit ethernet controller that connects the acquisition modules to the PCI bus, the DVO adapter) will have been smashed as well.
It also looks that both scopes have been opened (probably before getting smashed) and parts removed, so they might not even contain all the parts (and the four 10GSa/s ADC modules are painfully expensive to replace if missing!). From the photos it also looks like they have spend some time exposed to the elements (i.e. rain) as I'm sure I can see beginning corrosion. I'd say it's highly unlikely that they have been in working condition before getting smashed, these are most certainly dumpster diving finds.