I want to get more people involved, in as many ways as possible.

(Please share, and add additional resources in the comments):

International Rescue Commitee, with offices in New York, NY. Baltimore and Silver Spring, MD. Charlottesville and Richmond, VA. Elizabeth, NJ. Atlanta, GA. Tallahassee and Miami, FL. Garden City and Wichita, KS. Dallas, Abilene, and Midland, TX. Phoenix and Tuscan, Arizona. Salt Lake City in Utah, Missoula in Montana, Seattle in Washington state, and Boise, Idaho. Turlock, Sacramento, Oakland, San Jose, Los Angeles, and San Diego, CA. They also have programs that work in over 40 countries.

UNICEF.
http://www.unicef.org/

Doctors Without Borders (Medecins Sans Frontieres).

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Mercy Corps.

International Medical Corps.
https://internationalmedicalcorps.org/programs

Migrant Off-Shore Aid Station, who have rescued 25000 migrants in the Mediterranean.
https://www.moas.eu/

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Oxfam.
https://www.oxfam.org/en

International Red Cross.
https://www.icrc.org/en/what-we-do

AidRefugees.gov, which has a search engine to help find local organizations
https://www.whitehouse.gov/aidrefugees