For early game (which I'm qualifying as "before the second dream quest") Kullervo's Recompense, Rhino's Iron Skin, Nezha's Warding Halo, Harrow's Covenant, Revenant's Mesmer Skin, Nidus's Parasitic Link, Titania's Spellbind, Trinity's Link, and Valkyr's Hysteria can all provide status immunity while active, and Oberon's Hallowed ground provides in while standing on it. Additionally Hildryn's Pillage Nezha's Firewalker, and Garuda's Bloodletting will cleanse status effects that are on you. Lavos will both cleanse and gain a few seconds of immunity when picking up an energy or universal orb. Nyx and Wukong can also get status immunity, but you're functionally locked out of normal gameplay while immune.
For mid to late game Qorvex's Disometric Guard, will prevent status effects, and there's a mod called Rolling Guard that can give you a cleanse and 3 seconds of status immunity on any 'Frame.
Technically you could use Rolling Guard early game if you're willing to buy it from another player, Qorvex if you buy him from the market with plat, and a number of the abilities here can be moved to other 'Frames with the Helminth as well as the Helminth-unique ability Hideous Resistance. There are also a number of ability augments that can give you status cleanse or immunity, but I'm too lazy to look all of them up. Also the wyrm sentinel has a precept called Negate that will prevent one status effect every 5 seconds