The classic modern Mishnah commentary was written in Hebrew by R. Pinchas Kehati, and is also available in English translation (e.g. here). As a bonus, there are free iOS and Android apps available which contain the entire Hebrew and English texts.
Major advantages of this edition include a running commentary on every phrase of the Mishnah, as well as introductions to each tractate, chapter and (where necessary) mishnah, explaining relevant concepts before one dives in to the text of the Mishnah itself.
The commentary is relatively concise, but (I find) provides the reader with a good understanding of at least one approach to each mishnah.
In some cases, where the classic commentators had different approaches in explaining a given mishnah, R. Kehati will present alternative opinions and explanations as an end-note to his commentary on that mishnah.
More recent entrants to English language Mishnah commentary were produced by Artscroll.
Their first effort was the Yad Avraham series which contains a translation as well as in-depth commentary (culled from many of the traditional commentators) on each mishnah.
This was followed by the Schottenstein edition, which contains a running translation/elucidation (in the style of Arscroll's successful Schottenstein edition of the Talmud) as well as footnotes. The commentary here tends to be somewhat briefer and less comprehensive than in the earlier Yad Avraham version, but still provides a thorough understanding of the mishnah.
One final thought: If your Hebrew skills are up to it and you have had some prior exposure to learning Mishnah, you may want to try simply learning each mishnah with the classic commentary of R. Ovadiah miBartenura.
I have personally learned through the whole Mishnah corpus with his commentary, and found that it is (generally) short enough to learn in a reasonable amount of time, but still provides a deeper understanding of the mishnah (often based on the relevant Talmudic discussions) as well as a summary of final halachic decisions.
Bartenura's commentary is published in the vast majority of editions of the Mishnah, and is also available online at Hebrewbooks.org and Sefaria.org. I note that Sefaria appears to have a "community" English translation of at least some of the Mishnah together with Bartenura's commentary, but I can't vouch for the accuracy of either.