As a fan of utrics and genlisea, this is super biased!
Utrics
In terms of utrics, really only the epiphytic ones (and maybe and a few aquatics + longifolia) would be considered big.
U. alpina - it really looks like an orchid and has big, snowy-white flowers. Easiest of the epiphytic utrics and should do fine as long as you keep it relatively cool.
U. pubescens - super easy terrestrial. Nice bullseye-pattern flowers and peltate leaves - but it's quite small.
U. nelumbifolia - can be tricky, but has gigantic lily-pad like peltate leaves. Really nice species. Also somewhat of a cool-grower, like other epiphytics.
U. longifolia - really vigorous and easy. As the name implies, forms really big leaves. Deep purple, orchid-like flowers.
U. sandersonii - the classic. Cute carpets of little wedge-shaped leaves and endearing flowers that look like bunnies.
Drosera
D. burmannii - weedy and easy - the tentacle movement is fast enough to be visible real-time!
D. spiralis - cool growing species, but quite easy. Forms big rosettes of very long, skinny leaves.
D. binata - a classic. Very colorful, dewy forked leaves and super easy to grow. Some types get quite huge.
Pinguicula
P. gigantea - gets huge as the name implies. The leaves are also sticky on both sides.
P. laueana - spectacular, crimson-red flowers.
P. primuliflora - pretty, bluish flowers with yellow centers.
Genlisea
any of the commonly available ones should be easy, and they have very interesting traps that you can see if you set it up right.
G. hispidula is the easiest.
Nepenthes (suggestion, as I don't actually grow these :p )
N. veitchii - gigantic flared peristomes, a really spectacular species that (I've heard) is quite tolerant of many conditions.