Yeah Rome is quality been 3 times and wouldn’t hesitate to go again, but stay and eat out across the river in trastevere, far nice experience. Better accommodation, restaurants and bars.
Paris is ok for a getaway, Lisbon is cool, Tallinn Estonia is a nice weekend away , anywhere in Germany tends to be good. Interlaken for outdoors holiday is great,
The best weekend breaks I’ve had are definitely Munich, cologne, Berlin, Prague, Rome, Gothenburg. Reykjavik, Madrid, Bergen,
If you want a cheap weekend trip
Check out Bilbao, Nuremberg, Eindhoven , Poland
Ryanair and easyjet have returns in January for £40-50 to many destinations