I found an American Judicature Society list on the breakdown of how states select their “Courts of Last Resort.”
Legislative Appointment (2): South Carolina and Virginia.
Gubernatorial Appointment (2): California and New Jersey.
Non-Partisan Election (13): Arkansas, Georgia, Idaho, Kentucky, Minnesota, Mississippi, Montana, Nevada, North Carolina, North Dakota, Oregon, Washington, and Wisconsin.
Partisan Election (9): Alabama, Illinois, Louisiana, Michigan, New Mexico, Ohio, Pennsylvania, Texas, and West Virginia.
Merit Selection (25): Alaska, Arizona, Colorado, Connecticut, Delaware, District of Columbia, Florida, Hawaii, Indiana, Iowa, Kansas, Maine, Maryland, Massachusetts, Missouri, Nebraska, New Hampshire, New York, Oklahoma, Rhode Island, South Dakota, Tennessee, Utah, Vermont, and Wyoming.