In semi order of preference. I generally lean toward misunderstood good guys or at least gray area beasties.
Clever Monkeys, Ape-men, Yeti, Neanderthals, or your basic out of place hominid type. Gollum falls into this for me, too
Kaiju – especially Godzilla and toho, but Gamera and King Kong also counts for me here. Kong counts extra, see Clever Monkeys, above.
Bigger Dinosaurs. In the kaiju vein, I guess. Usually land-based and 4-legged, but sea monsters like Nessie / Chessie are exceptions. Not as fond of the feathered or smaller dinosaurs.
Giant insects, spiders and ants preferred. Not as fond of fliers (except mothra, see above), though mantis and dragonflies are awesome.
Robots. Intelligent. Giant, tiny or man sized. (Or good guys Robby, K9 and B9)
The Thing (John carpenter’s version)
Frankenstein’s monster (sympathetic sensitive Karloff , first two movies – not the arms-out Mummy-style near automaton)