So the logs relate to the 'Gerald' mission .. go watch a lot of much older Spanj videos, RE before the 'Broken Bad' series.
The rest I think is new, although I think the Strange Statues first appear in RE but the substance of what they relate to wasn't implemented.

The zirax boss and the statues were already in the game in my 2022 playthrough, never found out what to to with any of them.

If you find enough of the strange statues, you will get a mission to go to Farr space, and talk to the historian - you will receive the golden rule plasma(?) rifle; a weapon with a couple thousand round ammo capacity, but can only be reloaded back where you got it for credits.

The shard of the stars can be combined with the shards of the sun and the moon found in an abandoned tomb on a desert (oasis?) planet, though I cant remember where the temple is found to clean it, and I'm not sure if the mission was ever finished beyond cleaning/combining them.

The message for Colonist was probably found on the abandoned ship in an exploration site (the one you need to rescue escape pods). It can be handed in at an orbital habitat, I think in one of the (white) trade station sectors in Colonist space, cant recall what the reward for that one was.

Oh, and the UCH ship logs, you need to visit 3 different research ships (not in the starter systems). the keys will all be found in the same spot in the bathroom but will unlock different hiding spots. A and B are in engineering, and C is in the cafeteria (above the entrance near the ceiling - easy to miss). Once you have all three Gerald logs, talk to one of the guards to get a key to the locked crate in the armoury.

Originally posted by Dyspayr:

Oh, and the UCH ship logs, you need to visit 3 different research ships (not in the starter systems). the keys will all be found in the same spot in the bathroom but will unlock different hiding spots. A and B are in engineering, and C is in the cafeteria (above the entrance near the ceiling - easy to miss). Once you have all three Gerald logs, talk to one of the guards to get a key to the locked crate in the armoury.

You can get the logs from the UCH ships in the starter systems, alpha, beta, delta and epsilon. I've done that in every play through so far since it was introduced.

Originally posted by treker_ed:

Originally posted by Dyspayr:

Oh, and the UCH ship logs, you need to visit 3 different research ships (not in the starter systems). the keys will all be found in the same spot in the bathroom but will unlock different hiding spots. A and B are in engineering, and C is in the cafeteria (above the entrance near the ceiling - easy to miss). Once you have all three Gerald logs, talk to one of the guards to get a key to the locked crate in the armoury.

You can get the logs from the UCH ships in the starter systems, alpha, beta, delta and epsilon. I've done that in every play through so far since it was introduced.

If you do it in the starter systems, you can just go to one ship and then use the teleporter to visit two others.

Originally posted by nevryn:

Originally posted by treker_ed:

You can get the logs from the UCH ships in the starter systems, alpha, beta, delta and epsilon. I've done that in every play through so far since it was introduced.

If you do it in the starter systems, you can just go to one ship and then use the teleporter to visit two others.

But only if you have already visited them - you cannot use the teleporter if you have not discovered the POIs in the first place.

Originally posted by treker_ed:

Originally posted by nevryn:

If you do it in the starter systems, you can just go to one ship and then use the teleporter to visit two others.

But only if you have already visited them - you cannot use the teleporter if you have not discovered the POIs in the first place.

Yes you can....

Does the Gerald mission continue past the research vessels? Are there any further logs?

No. once you have all 3 logs and have had them decrypted, and looted the crate that's it.. unless Ravien or Vermillion decide to add another chapter.

Originally posted by Dyspayr:

The shard of the stars can be combined with the shards of the sun and the moon found in an abandoned tomb on a desert (oasis?) planet, though I cant remember where the temple is found to clean it, and I'm not sure if the mission was ever finished beyond cleaning/combining them.

I now have the shard of the moon and the shard of the sun and the corrupted shard of the stars, but i have no idea how to combine them.

Originally posted by Klingenmeister:

Originally posted by Dyspayr:

The shard of the stars can be combined with the shards of the sun and the moon found in an abandoned tomb on a desert (oasis?) planet, though I cant remember where the temple is found to clean it, and I'm not sure if the mission was ever finished beyond cleaning/combining them.

I now have the shard of the moon and the shard of the sun and the corrupted shard of the stars, but i have no idea how to combine them.

There is a Talon on I think a crystalline moon (not sure), who is supposed to do it. But I am pretty sure the mission is incomplete.