Assassin's Trophy offers most of the utility without the need to trigger delirium, and Eyeblight Ending is a dual-type (kindred / instant) removal spell that will even help trigger delirium
In general, four-mana creatures are great with Liliana because after you use the +2 ability once, potentially discarding the four-mana creature, you can put it onto the battlefield without losing the Liliana
If you're looking for more instant-speed removal, Wear/Tear , Stroke of Midnight , and Beast Within are good additions with a lot of flexibility.
Use combat tricks and removal wisely, always making sure it provides your board state an advantage over your opponent that can lead to a victory
Jolrael, Mwonvuli Recluse and On the Trail need you to draw a second card which is way easier on your turn, but as you can see from my list, totally obtainable on an opponent's turn
Utility Lands Next up, utility lands to put into the manabase