Stage History are available in both classic and lightning if they are added to the page layout.
In your case, it is not coming to Lightning. The possible reason is:-
There are two component available in Lightning app builder that can show related list on a lightning page. They are:-
Realted list will show all the related ...
When you have a reverse relationship, such that you can use a nested select, that means you have a direct relationship between that child and the parent.
In this case you have OpportunityLineItem and Opportunity related via a field on OpportunityLineItem itself - the field is called OpportunityId and the relationship field is called Opportunity.
You can, ...
Any record in Salesforce can still be referenced as long as it is not fully removed. Deleting a record moves it to the trashbin where it resides until it is automatically removed or by clearing the Recycle Bin.
Only the final deletion of a record (and this includes setup records as well) will ensure that no references keep existing.
In this case the ...
Those are Quick Actions.
You configure Quick Actions on the underlying Page Layout for this specific sObject and Record Type. Position Quick Actions in the Lightning and Mobile Quick Actions section (at the top of the page layout editor) to have them appear in the Chatter publisher.
Optionally, create new object-specific Quick Actions in Object Manager for ...
No. OpportunityShare, the underlying Share table, does not have an option to include access to the Account. Please note, however, that because of Implicit Sharing, the account is automatically shared with Read access (but not Edit) when the Opportunity is shared. You cannot change this default behavior.