Other types of consciousness (viññāṇa) in Theravada? There are the six types of consciousness (viññāṇa) based on MN 38, namely those related to the six sense media: eye, ear, nose, tongue, touch or mind.

In MN 49, there was a "consciousness without surface" (viññāṇaṃ anidassanaṃ), which turned out to be a mistranslation, according to the answers of this question. The sutta was talking about Nibbana.

So, are there any other types of consciousness (viññāṇa) in Theravada outside the six sense media consciousnesses?

What about rebirth linking consciousness? Is that a type of consciousness outside the six sense media?

I know in Mahayana, there are still two more types of consciousness according to this Wikipedia page. But this question is asking more from the Theravada perspective (including Abhidhamma).
Are there any other types of consciousness (viññāṇa) in Theravada outside the six sense media consciousnesses?


According to Theravada perspective, there are only six types of consciousness (which you've already mentioned). This is a categorization of consciousness based on its sense base. Every consciousness falls into one of these six. In Abhidhamma, there are many categorizations [based on wholesomeness, sphere of the being (kāma-loka, rūpa-loka, arūpa-loka), worldliness, etc...] can be seen of same consciousness which mentioned in Suttanta desana.

In Abhidhamma,


Considering all the consciousness, there are 89 consciousness in brief and 121 consciousness in detail.
By considering wholesomeness and unwholesomeness, there are 12 unwholesome consciousness and 21 wholesome consciousness in brief (37 in detail).
By considering worldliness, there are 81 mundane consciousness and 8 super-mundane consciousness in brief (40 in detail).
By considering the sphere, there are 54 sense-sphere consciousness, 15 form-sphere consciousness, and 12 formless-sphere consciousness.
There are 20 functional consciousness and 36 resultant consciousness in brief (52 in detail). [Note: These consciousness won't make kamma.]



  What about rebirth linking consciousness? Is that a type of consciousness outside the six sense media?


No, it falls under mind consciousness and we can say it also falls under resultant consciousness more precisely according to Abhidhamma.

There are 10 consciousness (*) arise in eye, ear, nose, tongue, and body sense bases (2 consciousness in each with the division of wholesome resultant and unwholesome resultant). All the other consciousness arise in mind base.

Note 1:
(*) :- 


Rootless Wholesome resultant eye consciousness with neutral feeling.
Rootless Unwholesome resultant eye consciousness with neutral feeling.
Rootless Wholesome resultant ear consciousness with neutral feeling.
Rootless Unwholesome resultant ear consciousness with neutral feeling.
Rootless Wholesome resultant nose consciousness with neutral feeling.
Rootless Unwholesome resultant nose consciousness with neutral feeling.
Rootless Wholesome resultant tongue consciousness with neutral feeling.
Rootless Unwholesome resultant tongue consciousness with neutral feeling.
Rootless Wholesome resultant body consciousness with pleasant feeling.
Rootless Unwholesome resultant body consciousness with painful feeling.


Hence,


Eye consciousness = 2
Ear consciousness = 2
Nose consciousness = 2
Tongue consciousness = 2
Body consciousness = 2
Mind consciousness = 79 in brief (111 in detail)


Note 2:


One consciousness may fall into more than one category above mentioned.
In abhidhamma, the word citta used instead of viññāṇa to mention consciousness.
This Dhamma is well preached. So there's no contradiction between Suttanta desana and Abhidhamma desana. Hence every sutta can be explained with Abhidhamma.


Note: This is what I understood. I may be wrong but not Dhamma.