I am building a off grid house in Ghana and would like to use an American 200 amp breaker box and plugs
Two Systems of Electricity
Throughout the world, there are basically two different systems of electricity that (almost) every country uses one of.  Both are safe, and neither is particularly better than the other, but they are different, and not directly compatible.

120/240V 60Hz

This system is used primarily in North America, and is often referred to as US style power or split-phase power.  120V is used for small things, and heavy loads use 240V.

230V 50Hz

This system is used in most of the rest of the world besides North America.  It's sometimes referred to as European style power, as that is where it originated.  Note that while it's 230V nominal, some locations actually use 220V or 240V, which is within acceptable tolerance of 230V.
Since this system is used so widely, the availability of equipment is actually huge -- if you don't like the style of something local, there's probably another country with the same power system that has what you want.  So, for example, while you might not like some of the options local to Ghana, you can always import from the UK, Australia, Germany, China, France, etc., and they will all be compatible with your local power system.
Build to Local Standards
As I understand it, you're planning to build an off-grid house in a location where the local regulations are lax enough to allow for either system to legally be used.  Since most of the devices you're hoping to power are expecting 120/240V 60Hz power, you're thinking of building that type of system, even though 230V 50Hz is the official standard of the country.  I would strongly advise against this, for many reasons:

All electronics and electrical building materials used in this house must be imported from North America.  While this might not seem like much extra work when you're building the place, it will be a big pain every time something breaks and needs to be replaced.  This is especially true if the dead item is the inverter, since you'll be without power until you can source a new one.
Local electricians will not be familiar with, or qualified to work on, a 120V system.  As such, you will have to DIY almost all electrical work, and will have trouble getting good help.  An electrician trained only in a 230V system could easily make dangerous mistakes on a 120/240V system.
When you eventually sell the place (which will happen someday, as houses almost always outlive their owners), the next person will not be able to plug in their electronics, and will not know how to work on the system.  As such, they will almost certainly want to rip it all out and replace it with the standard system used in the country -- and they'll deduct the price of doing that from the price they're willing to pay for the place.
When guests come over, they will not be able to plug in their cell phone chargers or other electronics.
Local regulations may change.  While at the moment, the government in question isn't strictly enforcing that all buildings in the country use the country's official power standard, can you guarantee this will still be true in 30 years?  It's not impossible that the government would make you change it later, at your own expense.

As such, I highly recommend you build a 230V 50Hz system as the primary power system for this house.  In order to use the devices you like, I recommend you evaluate them on a case-by-case basis, and replace them with a 230V version if there's a good one available, or get a converter for only that device.
Powering Electronics from the Other System
It's very often possible to power devices that were designed for one system on the other one, but how easy that is depends on the device in question.  Broadly, there are three categories:

Universal Input Devices

These devices don't care which system they're supplied from, and will happily work on either.  Usually all you need to do is change the cord, or use a passive plug adapter.  They can be identified by their label, which will say something like 100-250V, 50-60Hz.
Most modern DC electronics these days are designed to be universal input.  This includes most computers, cell phone chargers, TVs, etc.  Check your labels; you might be surprised to find how many devices you can use with no conversion.

Things that care about voltage, but not frequency.

Things like light bulbs and toasters do need the voltage to be correct, but they do not care at all about frequency.  As such, they can be powered with a transformer of appropriate size (a 240-&gt;120V step down transformer in your case).  Again, check the label -- it'll either say 50/60 Hz or it won't mention frequency at all.

Things that care about frequency.

These will almost all be electric motors (or things that have them inside, such as AC compressors, and your washer and dryer).  Most low-cost AC electric motors are synchronous with the grid frequency, and will run 20% faster on 60Hz than on 50Hz -- which will likely burn them out.  Frequency isn't nearly so easy to change as voltage, so for these categories of appliances, I recommend replacing them with a local version wherever possible.  If you absolutely must use one of these, then you need a frequency converter, which will be expensive.  On these, the label will specify voltage and frequency exactly.
Note that some motors are not synchronous to the AC frequency.  In that case, they'll be in one of the two above categories.  In particular, newer HVAC units are often coming with 'inverter' compressors, which cost more but allow for better efficiency, and are usually universal input.