T-SQL select rows by oldest date and unique category

Question

I\'m using Microsoft SQL. I have a table that contains information stored by two different categories and a date. For example:

ID   Cat1   Cat2   Date/Time         


        

Answer 1

Quassnoi's answer is fine, but I'm a bit uncomfortable with how it handles dups. It seems to return based on insertion order, but I'm not sure if even that can be guaranteed? (see these two fiddles for an example where the result changes based on insertion order: dup at the end, dup at the beginning)

Plus, I kinda like staying with old-school SQL when I can, so I would do it this way (see this fiddle for how it handles dups):

select *
from my_table t1
  left join my_table t2
    on t1.cat1 = t2.cat1
    and t1.cat2 = t2.cat2
    and t1.datetime > t2.datetime
where t2.datetime is null