The original post only has US helplines. I've added UK helplines underneath. It would be great if people could add numbers from everywhere in the world.
Depression Hotline 1-630-482-9696
Suicide Hotline 1-800-784-8433
LifeLine 1-800-273-8255
Trevor Project 1-866-488-7386
Sexuality Support 1-800-246-7743
Eating Disorders Hotline 1-847-831-3438
Rape and Sexual Assault 1-800-656-4673
Grief Support 1-650-321-5272
Runaway 1-800-843-5200, 1-800-843-5678, 1-800-621-4000
Exhale After Abortion Hotline/Pro-Voice: 1-866-4394253
Child Abuse 1-800-422-4453
** UK Helplines
Samaritans (for any problem) 08457909090 e-mail jo@samaritans.org
Childline (for anyone under 18 with any problem) 08001111
Mind infoline (mental health information) 0300 123 3393 e-mail: info@mind.org.uk
Mind legal advice (for people who need mental-health related legal advice) 0300 466 6463 legal@mind.org.uk
b-eat eating disorder support 0845 634 14 14 (only open Mon-Fri 10.30am-8.30pm and Saturday 1pm-4.30pm) e-mail: help@b-eat.co.uk
b-eat youthline (for under 25's with eating disorders) 08456347650 (open Mon-Fri 4.30pm - 8.30pm, Saturday 1pm-4.30pm)
Cruse Bereavement Care 08444779400 e-mail: helpline@cruse.org.uk
Frank (information and advice on drugs) 0800776600
Drinkline 0800 9178282
Rape Crisis England & Wales 0808 802 9999 1(open 2 - 2.30pm 7 - 9.30pm) e-mail info@rapecrisis.org.uk
Rape Crisis Scotland 08088 01 03 02 every day, 6pm to midnight