Java applications (eg.Netbeans&Eclipse) constantly quit unexpectedly
I use Eclipse (64 Bits) latest Indigo version on Lion and I don't have those crashes. 

Your Crashlog comes from a Exception Type:  EXC_BAD_ACCESS (SIGSEGV) which is usually: 


A bug in the code (failure to release/retain/etc.) when coding in obj-c (very common).
A Memory problem (RAM) (hardware). 


Given that Eclipse is written in Java (which has Garbage Collection and therefore doesn't suffer from EXC_BAD_ACCESS, as far as I know), I'd say you check your RAM, you might be having a hardware problem that manifests when "memory intensive" (to put it nicely) programs execute.