Here is a
Google spreadsheet of which Touhou character has visited the Hakurei Shrine before, defining the area of the Hakurei Shrine to be within the perimeter of the shrine grounds. I have also decided to add some data analysis about the types of people who visit the Hakurei Shrine, which meant categorizing what species and the importance the characters had.
Touhou characters count PC-98 game characters, Windows game characters, and book/CD main characters. What isn't included are PC-98 mini bosses, characters only mentioned by name, and Hisoutensoku, and instead considered extra characters.
Extra characters describe more generic characters that lack few or any characterization, such as animals, youkai, and fairies. Though, I only added entries for unique species as to avoid analyzing background characters to see if they differ from another background character.
Moving on, each character is classified a single species out of this list of ten species: Human, Youkai, Fairy, Magician, Spirit, Lunarian, God, Celestial, Hermit, and Machine. These species are to group characters moreso on how humans would view them, and is not meant to be accurate to the actual species the characters are.
Results
As of the latest Touhou work, *UDoALG*, there are a total of 160 Touhou characters. Of the Touhou characters, 98 of them have visited the shrine, meaning 61.20% of the Touhou cast have been at the shrine before, and remaining 62 of them could not say they visited the Hakurei Shrine.

A Chart on the reasons Touhou Characters visited the Hakurei Shrine. "NO VISIT" meant they did not visit the Hakurei Shrine.
Now, after defining each Touhou Character a species, it can be stated that 42.9% of visitors are Youkai and 12.2% of visitors are Human, so considering that humans are outnumbered by youkai 3.5 times over, it is safe to say that the Hakurei Shrine is a Youkai Shrine.

Chart of the species of the Hakurei Shrine Visitors for Touhou characters
But what about the rest of species? Not everyone is so cleanly divided into Human v. Youkai, and not to mention some species of like hermits and celestials have amiable relations to humanity. So, let's try to divide the rest of species onto two different sides: Human, or Youkai.
Human: Humans, Gods, Hermits, Celestials, Lunarians, Machines, Lunarians
Youkai: Youkai, Fairies, Magicians, Spirits
Even with this division, 68.75% are a part of the Youkai side, and 31.25% are a part of the Human side. It looks like the Hakurei Shrine can still be considered a Youkai Shrine.
Extras
Below the "EXTRAS" row on the sheet is a catalog of extra characters, featuring a mix youkai, animals, fairies, and more joining on the shrine. During PC-98, there a lot random creatures being summoned at the shrine. Post PC-98, the fighting games and Touhou manga, notably WaHH, add to the extra creatures.
Trends of NO VISIT
There are some trends along those who have not visited the shrine, and for them a explanation is in order.
Kisume, Yamame, Parsee, and Yuugi are all part of the underground, and my best theory on their absence is that the underground has better parties than the shrine given how separated underground culture is to the above ground culture.
Nazrin, Murasa, Shou, and Nue all haven't shown up at the shrine. Presumably the rest of the Myouren Temple would find traveling to the Hakurei Shrine a waste of time considering their existing religious duties.
Wakasaghime, Kagerou, Benben, Yatsuhashi, and Raiko don't appear appear at the shrine, though the cast of DDC have different reasons for their absences. Wakasaghime is a water creature, so a visit to the shrine would be difficult when the shrine is surrounded by land. For Kagerou, her affinity to live at the Bamboo Forest as a beast youkai might of dissuaded her from the shrine's parties for their lively social setting. And if this is true, then it gives a strong reason for Kagerou to be part of the Grassroots Youkai Network as a quieter form of social interaction. As for the musicians, it seems that musicians ignore the shrine when picking concert locations, since playing loud music at Reimu's home would certainly annoy her and cause the musicians to get kicked out. But what about all those events hosted at the shrine? It might be that these musicians prefer to play only at their own concerts.
Beyond these trends listed, there a notable lack of representation of characters starting from HSiFS, though time will tell if these characters will reappear in the Touhou printworks.
Trivia
Fastest Visitor at the Hakurei Shrine from introduction:
For the characters who appear at the Hakurei Shrine at the game they were introduced in. For sources on these characters, check out the spreadsheet.
Normal Appearance
These characters appeared at the Hakurei Shrine during the middle of the story or for printworks, appeared at the Hakurei Shrine during their introductory chapter.
- Suika Ibuki
- Iku Nagae
- Tenshi Hinanawi
- Sunny Milk
- Luna Child
- Star Sapphire
- Kasen Ibaraki
- Okunoda Miyoi
- Reisen
Endings Route
These folks appeared at the Hakurei Shrine during the ending of their game.
- Remilia Scarlet
- Alice Margatroid
- Youmu Konpaku
- Yuyuko Saigyouji
- Reisen Udongein Inaba
- Eirin Yagokoro
- Kaguya Houraisan
- Komachi Onozuka
- Eiki Shiki, Yamaxanadu
- Sanae Kochiya (Prologue of MoF)
- Nitori Kawashiro
- Kanako Yasaka
- Rin Kaenbyou
- Utsuho Reiuji
- Byakuren Hijiri
- Seiga Kaku
- Hata no Kokoro
- Ringo
- Shion Yorigami
- Joon Yorigami
- Yachie Kicchou
- Keiki Haniyasushin
- Yuuma Toutetsu
- Misumaru Tamatsukuri
- Son Biten
- Zanmu Nippaku
- Mima
- Ellen
- Kana Anaberal
- Chiyuri Kitashirakawa
- Yumemi Okazaki
- Ruukoto
- Mimi-chan
Slowest Visitors at the Hakurei Shrine from introduction
These are the Touhou Characters that took the longest from introduction to visit the Hakurei Shrine. They have also been grouped into the three different eras of Touhou to be fair to characters that are in the newer Touhou works compared to the older Touhou works.
TH06 - TH9.5
- The Prismrivers Sisters (PCB - VFiS ch2)
- Lily White (PCB - VFiS ch15)
- Hieda no Akyuu (FS ch42)
TH10 - TH13.5
- Swuako Moriya (MoF - VFiS ch2)
- Satori Komeiji (SA - FDSpt2-ch2)
TH14 - TH19
- Seiran (LoLK - VFiS ch7)
- Clownpiece (LoLK - VFiS ch1)
- Hecatia Lapislazuli (LoLK - VFiS ch10)