The specific form it took in Ireland, with guising, groups traipsing from house to house and begging for food, hearths extinguished, local fires lit and hearths rekindled from the local fire, games involving none too serious divination of the future, carving of root vegetables with human faces, and the concept of what is now called Hallowe'en as a liminal time, a time when the veil between the material and the spirit world was thinned, allowing free passage from one to another, is well documented.
It is also well documented that the Irish (and Scots) took the rural customs with them to the US, where the customs of other ethnic groups mingled with their traditions. It has morphed into what we are now familiar with, but if you were to go to Ireland for Hallowe'en you would find many of the old customs, in particular the local bonfires, alive and kicking.
Various societies have special days where they remember the dead of the community or family ancestors with different rituals. Mexicans have Dia de Los Muertos, Poles have Dziady, Germans have St. Martin's Day (11 November), Austrians do Seleenwoche, the French have La Toussaint (All Saints). The latter two traditions are explicitly religious, but all the rest involve some form of guising or begging for food, often accompanying a religious observation of the holy day on 1 November. Many Catholics all over the world will participate in local secular 'Hallowe'en' traditions and also go to Mass on the feast of All Saints (1 November). The term Hallowe'en is an old term for the eve of All Hallows (aka saints).
The Roundheads and Puritans (Christian fundamentalists) poured cold water on most of the religious rituals and many secular or quasi religious traditions of English people, even banning the celebration of Christmas.