The only book on French history before 1789 recommended by the booklist is the Return of Martin Guerre. Are there any other good books in English on French history in the Middle Ages and Early Modern period or do I have to learn French?
In English, a volume of Short Oxford History of France series is perhaps not the best, but decent start point of the overview of the period dealt in the title, such as:
As for the period prior to 1500, books on medieval France is usually categorized under medieval Europe in general, not classified by individual regions as book list in the early modern and after section does. To give an example, you'll find entries of Blood Royal by Eric Jager (the original work of the recent namesake movie) and Paris, 1200 by John W. Baldwin (2010) in medieval Book list.
In addition to these two books, I'd also recommend Sharon Farmer, Surviving Poverty in Medieval Paris Gender, Ideology, and the Daily Lives of the Poor, Ithaca, NY: Cornell UP, 2001 (paperback (linked), 2005) for medieval social history of Paris.
Albigensian Crusade and the Cathars in the 13th century southern France is another big research topic and we have formidable amount of recent scholarship both in English and in French. You can see some of the recommended readings on them in the question tree answered by /u/WelfOnTheShelf, with a very brief complement also by me.
+++
On the other hand, Early Modern Period is primarily out of my narrow specialty, but I can at least list some names to be noted, such as David Parrott and Mark Greengrass.
+++
do I have to learn French?
If you are affiliated with the university with good library, (former) Wiley-Blackwell published volumes of A History of France series, originally written by French historians and translated into English. They at least primarily reflect the state of research in France by the last decades of the 20th century (Note: they are now very expensive, even in paperback):