So, here's the last copy of what "Development console" of minecraft launcher says:

Attempting to download C:\Users\User\AppData\Roaming\.minecraft\versions\1.7.10-Forge10.13.4.1614-1.7.10\1.7.10-Forge10.13.4.1614-1.7.10.jar for job 'Version & Libraries'... (try 5)
Couldn't download https://s3.amazonaws.com/Minecraft.Download/versions/1.7.10-Forge10.13.4.1614-1.7.10/1.7.10-Forge10.13.4.1614-1.7.10.jar for job 'Version & Libraries'
java.lang.RuntimeException: Server responded with 403
at net.minecraft.launcher.updater.download.EtagDownloadable.download(EtagDownloadable.java:48)
at net.minecraft.launcher.updater.download.DownloadJob.popAndDownload(DownloadJob.java:112)
at net.minecraft.launcher.updater.download.DownloadJob.access$000(DownloadJob.java:15)
at net.minecraft.launcher.updater.download.DownloadJob$1.run(DownloadJob.java:94)
at java.util.concurrent.Executors$RunnableAdapter.call(Unknown Source)
at java.util.concurrent.FutureTask.run(Unknown Source)
at java.util.concurrent.ThreadPoolExecutor.runWorker(Unknown Source)
at java.util.concurrent.ThreadPoolExecutor$Worker.run(Unknown Source)
at java.lang.Thread.run(Unknown Source)

Gave up trying to download https://s3.amazonaws.com/Minecraft.Download/versions/1.7.10-Forge10.13.4.1614-1.7.10/1.7.10-Forge10.13.4.1614-1.7.10.jar for job 'Version & Libraries'
Job 'Version & Libraries' finished with 1 failure(s)!

Then the client doesn't even show up, so no logs except "latest.log", that contains only

[23:21:25] [main/INFO]: Setting user: %username%
[23:21:25] [main/INFO]: (Session ID is token:-:sessionId)
[23:21:25] [Client thread/INFO]: LWJGL Version: 2.9.1
[23:21:26] [Client thread/INFO]: Reloading ResourceManager: Default
[23:21:26] [sound Library Loader/INFO]: Sound engine started
[23:21:26] [Client thread/INFO]: Created: 512x256 textures/blocks-atlas
[23:21:27] [Client thread/INFO]: Created: 256x256 textures/items-atlas
[23:21:29] [Client thread/INFO]: Stopping!

(This is latest, same with recommended

In .minecraft/versions/%version% there is only a .json file)

P.S. Maybe there is a file that I need to manually insert there? Clear install, only trying to create a modpack btw.

w/ launcher are you using

It was outdated keinett, also tried hacked official launcher.

Now it works with a custom launcher, so problem solved, thanks!

User was banned for using a cracked launcher.