Yes. Disguise Self can be used to make you appear to be a different sex and race within the given limits.
The spell description reads as follows:
You make yourself – including your clothing, armor, weapons, and other
belongings on your person - look different until the spell ends or
until you use your action to dismiss it. You can seem 1 foot shorter
or taller and can appear thin, fat, or in between. You can't change
your body type, so you must adopt a form that has the same basic
arrangement of limbs. Otherwise, the extent of the illusion is up to
The line I emphasized implies that the illusion can be anything within the limits stated above. Additionally it states that the illusion applies to "yourself" and your equipment. Thus you could make your face, eyes, hair, etc, take on any form. You are only limited by height, body type, and arrangement of limbs.
Thus you could easily make yourself appear to be a man instead of a woman, or an elf instead of a human, assuming you are within one foot of your original height.
Furthermore, you could mask your face entirely, take on the appearance of just about any humanoid race (assume you yourself are humanoid), or even change the color of your skin to look like a status.
It is debatable if you could mimic the tail of a Tiefling for example. You would need to talk with your DM about if this would count as a "limb".
However it is up to your DM when another creature would get an Investigate check to discern the illusion. Mimicking a specific person may require a Performance, Disguise or Deception roll to avoid raising suspicions.
To discern that you are disguised, a creature can use its action to
inspect your appearance and must succeed on an Intelligence
(Investigation) check against your spell save DC.
Given that the creature must use its action to inspect your appearance, this implies it must actively be inspecting your appearance, and does not get a passive check to notice the illusion unless given a reason to look.
Please reference "What are the practical limits to the Disguise Self spell in D&D 5e?" for additional information.