When comparing Code New Roman vs Fira Code, the Slant community recommends Fira Code for most people. In the question“What are the best programming fonts?” Fira Code is ranked 1st while Code New Roman is ranked 49th. The most important reason people chose Fira Code is:
This is particularly beneficial for those who wish to use combined letters such as "æ" and other diphthongs. But when it comes to programming, the ability to scan through your code is improved with ligatures for equality, arrow functions, and more.
Specs
Ranked in these QuestionsQuestion Ranking
Pros

Pro Completely free
Code New Roman is published under SIL Open Font License making it completely free.
Pro Looks clean and beautiful
Code New Roman seems like a mix of Monaco and Consolas, but looks very well on retina monitors.
Pro Comfortable to read
It's comfortable for the user to read Code New Roman for long periods. OpenType features include hanging or lining numerals (slashed, dotted, and normal zeros) as well as alternative shapes for a number of lowercase letters.

Pro Available for Windows and OS X
You can download and install it on Windows vista or higher (for cleartype technology support) and Mac OSX.
Pro Different typefaces
Code New Roman offers Regular, Bold , Italic, and Bold-Italic typefaces.
Pro Looks great on Ubuntu 14.04
Code New Roman has been tested on cheap Dell Inspiron with Ubuntu 14.04 installed and looks great on gtk-based apps such as Sublime Text, Geany, and TextAdept. It's also great on Qt-based apps such as KDevelop and Spyder. For electron/nwjs-based applications, it looks great on Visual Studio Code and Brackets, but has yet been tested on atom. However, it looks horrible on Swing-based apps such as Netbeans or Jetbrains' IDE.
Pro Multilingual
Code New Roman is available in English.

Pro Highly anti-aliased
This means that jaggies are reduced, making the line smoother.
Pro Has ligatures
This is particularly beneficial for those who wish to use combined letters such as "æ" and other diphthongs. But when it comes to programming, the ability to scan through your code is improved with ligatures for equality, arrow functions, and more.
Pro Supports retina displays
Fira Coda supports high pixel density retina displays.
Pro Characters look really nice
Some characters that look odd in other monospace fonts look very nice in Fira Code: @, a, 1, lower-case-L, Q, j, *
Pro Good editor support
A list of supported editors and terminals can be found here.
Pro Has a slashed zero
New style since February 2018.
Pro Frequent updates
The repository is frequently updated.
Pro Installs easily on Mac
Many ligature fonts on Github aren't "mac ready". This font comes pre-compiled and ready to install on Windows, Mac, and Linux.
Cons
Con No updates
No updates or original publisher. Mostly edited and uploaded by many designers because of its OFL license.
Con Looks bad in Windows
Too much anti-aliased in Windows.
Con The '@' Symbol is asymmetric
It's a style, but it would be nice if it would wrap and not just cover the top.
Con No true italic
Italic is just a slanted original, an Oblique. Looks ugly and is difficult on the eyes.
Con Noisy serif-like style harming the text clarity
Con Ligatures are nice-looking but harm clarity
Even though the font combines characters into ligatures, you still need to type the normal characters, and the ligatures make that difficult in many cases.
Con Ligatures like == and === are harder to tell apart than they should be
Con Too wide, too large line height
Con Too wide
Much wider than other fonts.
Con Ligatures lump some characters together and make them hard to read
Con Needs support for ligatures
It can't work in plain terminal, must have built in support for ligatures in editor.
Con No Sublime Text support
Not the font's fault but even the latest Sublime Text builds (e.g. 3126) don't support ligatures.
Con Ligatures break correlation between symbols on screen and the number of characters
This makes it easier to lose the grasp how long lines actually are.
Con Curly braces are not clear enough
Curly braches ("{" and "}") are not clear enough. They are too horizontally narrow, making them look almost like pipes ("|").
Con Bad 4 and r characters, dotted 0
WHY is r a serif?
Con Cannot enable alternative stylistic styles on Xcode
I've tried enabling some of the alternate stylistic styles using Xcode's Font picker, via the "Typography" screen. None of the stylistic styles I enable get reflected in Xcode's code editor, even if I restart Xcode from scratch. I'm not sure whether this is a limitation of Xcode, or of the font itself.
