Spain

Government website for immigration:

National Visas: https://www.exteriores.gob.es/Embajadas/seul/en/ServiciosConsulares/Paginas/Consular/Visados-nacionales-Informacion-general.aspx

If you live in the EU, Iceland, or select mainland European countries not in the EU:
https://www.inclusion.gob.es/en/web/migraciones/vivir-en-espana

General info on Migration: https://www.inclusion.gob.es/en/web/migraciones/home

LGBT+ specific immigration programs (if available): I could not find any LGBT+ specific refugee programs through the Spanish government, but LGBT+ people can apply for asylum. Spain also works with NGOs (non-government organizations) that support LGBT+ asylum seeking in Spain.
UNHCR: https://help.unhcr.org/netherlands/where-to-seek-help/lgbti/

NGOs:

Kif-Kif – Association Progestión – Kif-kif works out of Morrocco, but has connections with Association Progestión to support refugees in Spain, especially those from North Africa

https://progestion.org/en/collaboration-agreement-between-progestion-and-kif-kif-migrants-and-refugees-lgbti-association-in-favor-of-the-migrant-population-asylum-and-lgtbi-refugees/

La Merced Migraciones https://lamercedmigraciones.org/

ONG Rescates https://ongrescate.org/

CEAR https://euromedrights.org/members/cear-spanish-commission-refugees/

Additional resources for LGBT+ asylum seekers:

RainboW https://pourlasolidarite.eu/en/project/rainbow-welcome-lgbtqi-refugees/

Global Compact Refugees https://globalcompactrefugees.org/good-practices/community-based-refugee-sponsorship-spain-basque-country

Other sites pertaining to relocation/citizenship:
Spain is part of the EU, and individuals with citizenship to a country within the EU may have additional avenues for immigration https://european-union.europa.eu/live-work-study/immigration-eu_en

Is same-sex marriage legal: yes
Are trans identities legally recognized and protected: yes

Are more than two genders legally recognized: not fully

Is conversion therapy legal: no

Are there laws protecting LGBT+ people from discrimination: yes

See Equaldex for a chart with more specifics: https://www.equaldex.com/region/spain

Other information: https://database.ilga.org/spain-lgbti

Are there any laws preventing discrimination based on other factors (e.g. religion, age, sex, ethnicity): yes

https://leglobal.law/countries/spain/employment-law/employment-law-overview-spain/04-anti-discrimination-laws/