How to read/write to NTFS-3G formatted USB drives?

I think either we have a communication problem, or else we are in parallel universes here. Disc Utility has for years offered me the option of formatting an external USB drive in NTFS-3G (as well as MSDOS Fat, Mac Extended etc). Until I installed Mavericks, I have been using a Samsung 1 terrabyte drive formatted on my Mac as NTFS-3G. I have used this to swap files back and forth between PC devices and my Macbook. I have never knowingly purchased any 3rd party software to enable my Mac to do this. (Just a thought - maybe Macfuse was somehow installed some years ago and worked until Mavericks?) But when I plugged this USB drive into the Mac, the new regime of Mavericks refused to recognise it. All that lost data. And then it refused to erase and format it as an NTFS-3G drive, despite this being one of the options on the pull-down menu.

So anyway, the main issue now is I want to know how to do with Mavericks what I have been able to do for years with older OS Xs ie format an external drive as NTFS-3G and then use it to swap files back and forth between Microsoft based devices and my Mac laptop. Oh, and I need to format as NTFS-3G, not MSDOS Fat, as some of the files I swap are larger than 4 GB.

We are indeed living in parallel universes, and having communication problems as well. I just want to restore previously accessible functions on my Mac after the installation of Mavericks WITHOUT going to a 3rd party provider. Please note my original post:

"I don't really want to pay Paragon, as I have never had to buy 3rd party software to have cross-platform functionality before."

Thanks CSound1

I'm aware that NTFS belongs to Microsoft. That's why it works in PC devices - and its why I want it.

I wasn't aware that NTFS-3G is actually a utility rather than a file system, and not an Apple approved one at that, as it can be found in Apple's Disc Utility on the drop down menu. BTW, does this mean any 3rd party develop can change Apple's software to make it appear to be a part of the Apple system?

I see from my brief Google that the NTFS-3G utlity was developed as open source software by the same people who developed Tuxera. And no, I will not buy 3rd party software. If the Mac can't do the job on its own, then I will use my girlfriend's old PC to organise and back up my movies and music. The Mac can stay as my work machine. Don't you just hate how manufacturers are so keen to prevent cross platform communication? It's like electrical plugs, where the many different varieties internationally may pee off the travelling consumer, but the practice makes a mint for the manufacturers. Oh for the simplicity of a rational world where standardisation is acceptable and capitalism controlled.

I should have mentioned in my last post - the reason I want Microsoft based format for movies and music is that my TV and sound system both rely on Microsoft. I suspect the vast majority of TVs and sound systems do at present, so it then makes it important to have a means of transferring movies and sound files from my Mac to a USB drive that plugs into my TV / sound system. (And no, I am not going to buy Apple TV to try to get around the TV issue). My next online adventure will be to discover where to buy music and movies from a Microsoft formatted computer. I'm sure my defection won't send Apple shares down. But if many others are like me and find their PC based entertainment devices are not compatible with their Mac laptops, it may help Amazon and Google along. The one great feature about capitalism is competition - and we need more of it!