Ubuntu 18.04: switch back to /etc/network/interfaces

The following procedure works for Ubuntu 18.04 (Bionic Beaver)

I. Reinstall the ifupdown package:

# apt-get update
# apt-get install ifupdown

II. Configure your /etc/network/interfaces file with configuration stanzas such as:

source /etc/network/interfaces.d/*

# The loopback network interface
auto lo
iface lo inet loopback

allow-hotplug enp0s3
auto enp0s3
iface enp0s3 inet static
  address 192.168.1.133
  netmask 255.255.255.0
  broadcast 192.168.1.255
  gateway 192.168.1.1
  # Only relevant if you make use of RESOLVCONF(8)
  # or similar...
  dns-nameservers 1.1.1.1 1.0.0.1

III. Make the configuration effective (no reboot needed):

# ifdown --force enp0s3 lo && ifup -a
# systemctl unmask networking
# systemctl enable networking
# systemctl restart networking

IV. Disable and remove the unwanted services:

# systemctl stop systemd-networkd.socket systemd-networkd \
networkd-dispatcher systemd-networkd-wait-online
# systemctl disable systemd-networkd.socket systemd-networkd \
networkd-dispatcher systemd-networkd-wait-online
# systemctl mask systemd-networkd.socket systemd-networkd \
networkd-dispatcher systemd-networkd-wait-online
# apt-get --assume-yes purge nplan netplan.io

Then, you're done.

Note: You MUST, of course, adapt the values according to your system (network, interface name...).

V. DNS Resolver

Because Ubuntu Bionic Beaver (18.04) make use of the DNS stub resolver as provided by SYSTEMD-RESOLVED.SERVICE(8), you SHOULD also add the DNS to contact into the /etc/systemd/resolved.conf file. For instance:

....
DNS=1.1.1.1 1.0.0.1
....

and then restart the systemd-resolved service once done:

# systemctl restart systemd-resolved

The DNS entries in the ifupdown INTERFACES(5) file, as shown above, are only relevant if you make use of RESOLVCONF(8) or similar.

The Netplan team has posted an official answer on their FAQ here:

How to go back to ifupdown

...

On a running system, netplan can be removed by installing ifupdown and configuring /etc/network/interfaces manually as users have done before.

At install time, a user can opt to use ifupdown by preseeding netcfg/do_not_use_netplan=true. This is done by adding the preseed line to the command line when booting the installation media (i.e. at install media boot menu, press F6, type ‘e’, and add to the command line).

See Nuxwin's answer for more complete instructions.

The answer of Nuxwin is great and almost complete, I'd just add the lines:

rm /etc/resolv.conf
ln -s /run/systemd/resolve/resolv.conf /etc/resolv.conf

This will make sure that the resolver can be updated by the DHCP-client, like it was before when using interfaces.

(I would have added this as a comment but somehow one need 50 reputation to post a comment)