Buy the Yamaha FG800 unless the FS800’s smaller concert body and 634 mm scale are the specific reasons you are shopping.
The FG800 is the better starting point for the broadest group of acoustic players because it uses the familiar dreadnought format. Yamaha publishes a 412 mm body width and a 100–118 mm body depth, compared with 380 mm and 90–110 mm for the FS800. It is also 1,038 mm long overall and has a 650 mm scale. None of that proves a sound preference or promises a particular playing experience. It does establish that the FG800 is the bigger, longer-scale instrument in a pair that shares many foundational specifications.
The FS800 is a real alternative, not a lesser version. Yamaha lists it as concert style, with a 497 mm body length, 380 mm body width, 90–110 mm depth, and a 634 mm scale. That smaller physical envelope is the point. A player who wants a more compact acoustic format, or who has tried dreadnoughts and specifically prefers less body width and depth, has a concrete reason to choose the FS800. It shares the solid spruce top, nato/okume back and sides, 43 mm nut, walnut fingerboard, and no-electronics specification of the FG800.