USA
Le Droit Humain is a mixed Masonic order that is active in over 60 countries, including the USA under the name “The International Order of Freemasonry, Le Droit Humain, American Federation”. Le Droit Humain originates in France in the late 19th century. In 1903 the first lodge (Alpha No. 301 of Charleroi Pennsylvania) was founded in the USA. More history about these early days here. LDH is not very big in the USA. Under half of the states have lodges, most states just one (with Florida as exception). Find out if there is a lodge near you by clicking here. A quick count results in 17 lodges and two triangles (correct me if I am wrong);
The Honorable Order of Universal Co-Masonry (before April 2017 “The Honorable Order of American Co-Masonry”), mixed order. A 1994 split-off of Le Droit Humain (see above) and at the time called “The American Federation of Human Rights”.
After a century of ups and downs for the American Federation of Le Droit Humain, in 1994 a split became unavoidable. The largest part of the American Federation left Le Droit Humain and now remains as the largest mixed gender order in the USA. Karen Kidd wrote in On Holy Ground that at the time of the split, the American Federation of Human Rights had 18 lodges, 8 stayed in the Honorable Order, 6 split off as a new American Federation of Le Droit Humain (see above) and “the membership of four Lodges split between the two orders.” Nowadays the Honorable Order has 29 lodges in four countries: USA, Brazil, Chile, Argentina, Philippines, Costa Rica and Croatia. Lodges in Canada and Paraguay are in development.
The Masonic Philosophical Society is the study branch of this order. If their locations are any indication of lodges of the order in the USA, this could be a place to look. If you want to know where the lodges are located, contact the order.
Eastern Order of International Co-Freemasonry. According to the Wikipedia article I linked to above, this order is one of the orders that was founded after 2001 when troubles arose within Le Droit Humain America. It has lodges in the USA and abroad.
Another version is that the order was founded in 2002 in Adyar, India as a split-off of Le Droit Humain. Their website says that:
The Eastern Order of International Co-Freemasonry currently has lodges in Argentina, Brazil, Costa Rica, India, New Zealand, Puerto Rico, Spain, United States, Australia, and South Africa. Others are in the process of forming.
Sister organisation of the Grand Lodge of Freemasonry for Men and Women in the UK)
Grand Lodge, Ancient Universal Mysteries is an international Masonic Order admitting both men and women to meet the demand for the Aquarian spiritual Masonic quest for more light and the restoration of the Ancient Mysteries to outer service as a natural part of the program for human living.
AUM has lodges in Dallas (TX), Boulder (CO), N. San Diego County (CA), New York (NY), Ithaca (NY) and one more in the UK, two in Australia and one in New Zealand.

International Masonic Order “Delphi” resides in Greece, but has lodges in Greece, Brazil, Bulgaria, Romenia and six in the USA (Salt Lake City, UT; Phoenix, AZ; Las Vegas, NV; Austin, TX; Fort Worth, TX; Tampa, FL).
The Order was founded in 1926, and was restructured in 1996, under the name “Delphi International Freemasonic Order”.
The first Mixed Lodge was founded in 1926, under the aegis of The International Mixed Freemasonic Order ” Le Droit Humain “, that resides in Paris. In 1996, the General Assembly of the Order unanimously voted its re-establishment under the separate name of “DELPHI”.
(Member of Clipsas)

GWU is a North-American Freemasonic Obedience, with Lodges in the USA and Canada, practicing traditional liberal Freemasonry for men and women.
Existing lodges.
- Liberty Lodge Orien of Washington DC
- Raoult Zetler Lodge Orient of Montreal Quebec Canada
- Benjamin Franklin Lodge Orient of Chicago Illinois
- Sacred Orient of Little Rock Arkansas
- Golden Journey Lodge Orient of San Francisco California
- Humanist Lodge Orient of Half Moon Bay California
- Lighthouse Lodge Orient of San Rafael California
Upcoming lodges:
- Sacramento California
- Los Angeles California
- Seattle Washington
- New York New York
(Member of Clipsas)
Unión Masónica Universal del Rito Moderno (or Universal Masonic Union of the Modern Rite / UMURM / UMUMR) was founded in Barcelona in 2008. The Union is active in Brazil, Colombia, Equador, Cuba and the USA (California and Georgia). Information on the world wide web does not say as much, but I was asured that the Union has mixed lodges.
For informattion in the English language, especially go to hedgemason.blogspot.com and look for UMURM, or just ‘google’ of course).
Grand Orient de France was founded in 1773. About a century later they got issues with “regular” Grand Lodges when the GOdF dropped the requirement for the belief in something Divine. The GOdF lost its regularity, but not its popularity. What is less known, is that in 2010 the GOdF decided to allow lodges to initiate women. Since then quite a few lodges have voted for this possibility, but not a whole lot initiated any women. According to the GOdF 1.319 women were initiated in 2013. That is not a whole lot against 49.000 members, but on a positive side, there are no less than 1.200 lodges that possibly initiate women; worldwide that is (mostly in France itself). In North America there are lodges in Washington, New York, San Francisco, Los Angelos, Baltimore and Florida. They may not all initiate women, but when you have a lodge near you, it cannot hurt to ask.
(Member of Clipsas)

Women’s Lodges in the USA chartered by the Women’s Grand Lodge of Belgium (GLFB – WGLB), women only, three lodges in the USA (NY (Universalis), Washington (Emounah), LA (Aletheia)), starting in the early 1990’ies;
(Member of Clipsas and Climaf)

Women’s Grand Lodge of California, has three lodges (two in Marywood, one in Santa Monica) working in Spanish and English and working in the Ancient and Accepted Scotish Rite.

Honourable Fraternity of Ancient Freemasons, a women only order founded in 1913. There are 17 lodges in the UK, 1 in Romania, 2 in Spain, 1 in Gibraltar, one in India and 1 in the USA (Washington DC).
Rite of Memphis-Misraïm is a combination of the Rite of Misraïm that was founded by Cagliostro in 1738 and the Rite of Memphis that was founded by Jacques Etienne Marconis de Nègre in 1838. In 1889 General Garibaldi combined the two the Rite of Memphis-Misraïm.
Nowadays there is an international organisation working in Argentina, Brazil, Chile, Spain, France, Martinique, Mauritius, New Caledonia, Scandinavia, Switzerland, Uruguay, USA, England, Venezuela.
There are other organsations with similar names.
The website does not say that members have to be master Masons in another lodge, so it does not appear to be a system of side/higher degrees. On the other hand, the website does not say anything about the “blue” grades of Entered Apprentice, Fellowcraft and Master Mason, so I am not 100% sure.
What the website also does not state specifically, is that Memphis-Misraïm lodges are mixed. It does say however under “conditions for admission” that: “You must have been questioned by several Brothers or sisters” (my emphasis). Cagliostro wanted to admit women, so it sounds like this tradition is still followed.
Non-Masonic, but affiliated organisations are active in the USA are the Order of the Eastern Star, the Order of the Amaranth, Ladies’ North American Shrine of North America and Heroines of Jericho / Order of the Cyrenes. All orders are meant for master Masons and their wives (and sometimes other relatives). See Wikipedia for more information.