In addition to the above, you could use samba shares.
Instructions are here.
This is definitely supported by KODI (openELEC, Osmc or other), which is what I would install on the raspberry pi, if you want to use it as a media player for the TV, and resembles my setup.
(Though I think kodi also sees NFS)
Here is a summary of the instructions (credit goes to the original author):
Procedures
Install Samba
sudo apt-get update
sudo apt-get install samba
Set a password for your user in Samba
sudo smbpasswd -a <user_name>
Note: Samba uses a separate set of passwords than the standard Linux system accounts (stored in /etc/samba/smbpasswd), so you'll need to create a Samba password for yourself. This tutorial implies that you will use your own user and it does not cover situations involving other users passwords, groups, etc...
Tip 1: Use the password for your own user to facilitate.
Tip 2: Remember that your user must have permission to write and edit the folder you want to share.
Eg.:
sudo chown <user_name> /var/opt/blah/blahblah
sudo chown :<user_name> /var/opt/blah/blahblah
Tip3: If you're using another user than your own, it needs to exist in your system beforehand, you can create it without a shell access using the following command :
sudo useradd USERNAME --shell /bin/false
You can also hide the user on the login screen by adjusting lightdm's configuration, in /etc/lightdm/users.conf add the newly created user to the line :
hidden-users=
Create a directory to be shared
mkdir /home/<user_name>/<folder_name>
Make a safe backup copy of the original smb.conf file to your home folder, in case you make an error
sudo cp /etc/samba/smb.conf ~
Edit the file "/etc/samba/smb.conf"
sudo nano /etc/samba/smb.conf
Once "smb.conf" has loaded, add this to the very end of the file:
[<folder_name>]
path = /home/<user_name>/<folder_name>
valid users = <user_name>
read only = no
Tip: There Should be in the spaces between the lines, and also there should be a single space both before and after each of the equal signs.
Restart samba:
sudo service smbd restart
Once Samba has restarted, use this command to check your smb.conf for any syntax errors
testparm
To access your network share
sudo apt-get install smbclient
# List all shares:
smbclient -L //<HOST_IP_OR_NAME>/<folder_name> -U <user>
# connect:
smbclient //<HOST_IP_OR_NAME>/<folder_name> -U <user>
To access your network share use your username () and password through the path "smb:////" (Linux users) or "\\\" (Windows users). Note that "" value is passed in "[]", in other words, the share name you entered in "/etc/samba/smb.conf".
Note: The default user group of samba is "WORKGROUP".