What is the message you get from the installer? What does it say is missing?
You don't have a Solid State Drive (SSD) do you?
It is hard to know what you need. Like I said before the SATA driver is the most likely, which would be the iaStore (the iaAHCI likely has to do with sleep/hibernate) but you said it doesn't show up. BIOS is not a driver so skip that. Video, Audio, Bluetooth, Hotkey, Media Slot, Pointing, and Camera can probably be skipped. The LAN and WLAN drivers can be skipped for now but if you cannot connect to the internet after installation then you will need those. So Chipset, SATA, and anything Fujitsu are your best chance.
Also if you have your BIOS set up to treat your hard drive as a RAID volume then you would need RAID drivers. If you only have one hard drive you shouldn't be using RAID anyway so just make sure that is not enabled if your BIOS has a setting(s) for RAID.
I'm afraid it is very difficult to know since I'm not familiar with your laptop; have you tried Fujitsu customer support or maybe they have their own forums which would be actual owners of their equipment?