Not much you can do against a direct strike, other than keep that high-temp plasma out of the house (and you!) by disconnecting the antennas from the house. Commercial installations have large and very expensive grounding systems that are designed to keep functioning after a strike. We took a strike on the tower outside the comm center while I was working, both of us on duty felt a tingle in our headsets despite a $30k system designed to prevent exactly that from occurring. Only actual damage was a cooked net clock, but the other dispatcher would not wear a headset after that. The grounds on the towers are all welded copper connections, which is kind of tough to do unless you have a TIG welder and a tank of helium.
Best you can do with a good home protection system is keep most of the energy outside, and minimize damage and risk of fire inside. Even a near-strike can produce induced voltages that will cook radios, especially if the coax is connected to the radio.
I have "lightning arrestors" on all my lines, which are great in the winter to bleed off static, and could minimize damage from lightning. If there's a chance of lightning, I still disconnect all coax from the house and attach it to a separate ground that consists of 3 rods driven in a 12' triangle and bonded with 2" copper strap. I have 2 commercial towers about 500' from the house, and they get hit frequently with some "interesting" effects on the electronics in my house. No damage, just some weird noises from any radio or speaker system that happens to be on. Probably be interesting to try to measure the voltage on my antennas when the towers get hit. It's all a severe pain in the 4th point of contact in the summer, my antennas are pretty much disconnected unless I'm going to actually use them. Might be overkill or timidity, but I'd like to keep all my radio gear intact. Also, you should definitely check with your insurance carrier, a lot of companies won't insure radio equipment against lightning, and if you install things "incorrectly", they could theoretically deny a claim if your house were to burn down from a lightning strike. ARRL has insurance for radio equipment available to its members, but I've never really looked into it deeply.
I worked over 20+ year sat various repeater sites that experienced multiple lightning strikes on an annual basis, so I have reasonably extensive experience with lightning and proper grounding techniques. In my case, I used Morgan Manufacturing lightning arrestors coupled with Alpha Delta antenna switches, which also have a lightning arrestor component built-in. All coax cables were disconnected from the switches, and the cables are connected only when in actual operation. It's a pain the butt, but it always worked in the past.
The ham shack operates off of a photovoltaic system, which is also grounded. All power cables were disconnected from the batteries. The damaged vhf/uhf transceiver was connected to a MFJ voltage booster, which again, we not connected to any power source. In the same vicinity were two other vhf/uhf transceivers, an IC-7300, a Kenwood R-600, a GMRS/FRS postable/base, a CB base, a tube HF receiver, a Uniden scanner, and a wireless weather station. Al of the other equipment was literally inches away from the damaged equipment. Induced voltages can do strange things.
The only other item damaged in the house was a fiber optic interface box. Two circuit breakers tripped, but no further damage has been noted. I won't bother with an insurance claim, as our deductible is probably more than the damaged equipment cost.
Topographically, we're located near the bottom of a bowl, and we're surrounded by much higher trees, so lightning hasn't been a major concern. I haven't been able to determine which antenna handled the strike, as all are functioning fine. But, I've had similar occurrences, after seeing lightning strike a repeater antenna, and then not having any notable damage. I'm guessing in my case, most of the lightning strike was diverted by the arrestors, and only a small part entered the house. I know one thing, the dogs were not happy with the light flash and the resulting crack.
