Quarto 1 (1622)
One significant difference between a modern day script of Othello and this Quarto 1 is the quality of the print. Although illustrations are scarce, their appearances are always marked with a sign of superior craftsmanship. The first page of this script has an illustration that modern day printers could not hope to replicate. Of course, the differences in quality is understandable. Scripts and books during 1622 were significantly more expensive in comparison to our modern day print, so the effort that went into making these was perhaps tenfold.
Another significant difference between Quarto 1 and a modern day script is the overall vocabulary utilized by the writers. Instead of purse, purle is used instead. I can imagine how difficult it must be for a person who has never read Othello to read a Quarto 1 version of the play. Words we consider common are now increasing more complex through the addition of extra vowels. Luckily as someone who has already read Othello navigating the wording is not as difficult as a dry run through the script would be.
First Folio (1623)
I think a significant discussion point is the only one year different between the versions. As a result, the difference between these two prints cannot be extremely significant. However, while the words, I think, were mostly the same, the style of the script was different in that while the Quarto had all its lines in one large column on a page, the Folio divided its page into two columns. This resulted in a more contemporary feel because it looked so similar to a modern day play script.
One minor detail that this version had was the Latin used to signal a new scene: “Segunda.”
Overall, the play has not changed between these two print, however, the style in which they were produced varied significantly. This is understandable because different printers were probably used.