What time of the year? Liberty is a great ship, but it does not have covered pool and/or solarium.
It does not have set Broadway shows, but there is an entertainment in Theater daily.
Also Liberty has ice arena for skating and shows.
Insides of Liberty do not have Virtual balconies.
It is more open ship with open sports deck rather than Seaplex. It has nice minigolf course, not sure about waterslides now.
Liberty has inside Promenade similar to Esplanade, but wider.
I suggest watching videos on Youtube.
This year we have 2 cruises on Anthem (11 dayer to Southern Caribbeans already sailed and 7 days to Bahamas for Thanksgiving) and 2 on Liberty (5 days to Bermuda in May and 9 days to Canada in September).