Is there any coop experience?

[Explorer]

I like the mechanics of dota but im not a pvp guy...

[YONGSINNER]

Arcade modes or events, last ones are happen extremely rare

[Амёс]

Try some games from DOTA Workshop. I recommend Roshan Defence Reborn and World Of Dota (ARENA map) are two PVE games i like the most

[Will Bang]

You probably heard this answer but Diablo/Path of Exile are essentially Dota tailored for PVE.
If you like Dota because it's rapid leveling (for an RPG), both of those games kind of accentuate that with the Season events.

[Over]

https://steamcommunity.com/sharedfiles/filedetails/?id=2908066303

https://steamcommunity.com/sharedfiles/filedetails/?id=2967572098

Here are some revived limited time coop games from passed dota 2 events.
There might be some more coop events in the future or even in the next big update.
as people mentioned here there are also some original coop stuff made by the community.