The question is: can i use cubitcrack/clbitcrack or keyhunt-cuda/keyhunt or similar software to brute force a bitcoin wallet like puzzle 66 one? or the asic processors work ONLY with sha256 algorithm?
No matter if it could be slower than a gpu, just to understand if it's possible to make a running test and verify how many keys/s they can manage.

Of course you can use bitcrack or keyhunt for trying to brute-force the puzzle #66. But I guess you wanted to ask if you can use your miner therefore, right? Your miners are ASIC? If so, then see following question and the reply which might be helpful for understanding.
Sorry if this seems like a dumb question. But wouldn't it be more effective and much more performant to use an ASIC miner for the computational tasks of VanitySearch instead of a modern GPU? My GPU does 1,750 MKeys/sec and in comparison to that a GekkoScience Compac F USBminer does about 300 GHashes per second. Is there possibly a VanitySearch version that uses such a Compac F for the calculation and thus works much faster, any clues ?
It's impossible to use ASIC miner (such as SHA-256, Scrypt or X11) since there are many cryptography involved to create Bitcoin address such as ECDSA with secp256k1 curve, RIPEMD-160 and SHA-256. There's also various other operation such as checksum function on Bech32 and Bech32m address.
But it's different scenario if you're talking about creating ASIC or programming FPGA device to generate vanity address.
Another small question that it's a bit off topic but i didtn't get any reply on another thread (here is full of experts):
Hi, yesterday i've started solo mining on btcz.solopool.org and i found my first block after 7 hours.
Are you talking about Bitcoin? Which block did you find and with what hashrate and miner ? I'm pretty sure you didn't hit a block in the bitcoin chain using a GPU
