Five degrees of Wikipedia

[Jennybh]

1. Garden of Love (Song)
2. 2004
3. Gregorian Calendar
4. Jesus

[Ch1pp0]

Prince Carlos of Bourbon-Two Sicilies
Knight
Knights Templar
Roman Catholic Church
Jesus

Switch Laboratory
Belgium
Roman Catholic Church
Jesus

Lectionary 9
Biblical manuscript
Jesus

Compound interest
Netherlands
Religion in the Netherlands
Roman Catholic Church
Jesus


Too easy, all you have to do is find a country and get to the religion section.

The scary thing is I can always get to the Catholic Church in four clicks.

[Jennybh]

1. Specimens of Bushman Folklore
2. Religion
3. Jesus

Three!

[Jennybh]

1. Christopher Kubasik
2. Earthdawn
3. J. R. R. Tolkien
4. Christianity
5. Jesus!

[hecter]

Ariel for Best Actress
María Félix
Latin America
Christianity
Jesus

[hecter]

Hyogong of Silla
Korea
Christianity
Jesus

[Gilligan]

What if you get Jesus on the random?

[dittoeevee8888]

François Lake Provincial Park
Canada
Christianity
Jesus

Talamancalia fosbergii
Ecudaor
The Church of Jesus Christ of Latter-day Saints
Jesus

4Pi
IBM
United States
Christianity in the United States
Jesus

[chica999216]

start: Stanisław Badeni
Jarosław
World War II
Jew
Jesus


Start: Telesphore Toppo
Roman Catholic Church
Jesus

got it in 3

[Simon Viavant]

John Appleton Brown
America
Christians
Jesus

[e_i_pi]

1. J
2. E
3. S
4. U
5. S

[MoB Deadly]

1. Welsh Refugee Council http://en.wikipedia.org/wiki/Welsh_Refugee_Council
2. Refugee
3. Christian
4. Jesus

[snufkin]

1. Columbus City Center
2. Lazarus (department store)
3. Lazarus (disambiguation)
4. Lazarus of Bethany
5. Jesus

[Votanic]

I couldn't find the 'Random Article; button. So I just went with the first featured article shown...

1. Ole Miss riot of 1962
2. Mississippi
3.Catholic Church in the United States
4. Catholic Church
5. Jesus in Christianity

First clicking on the associated geographic area of the first article and the clicking on the 'Demographics' section of that seems like a good general method.