These are the best Zeiss options if you specifically want image stabilization when you’re shooting handheld in low light, at telephoto, or for smoother video—and here’s the straight talk: only a handful of modern Zeiss-branded lenses include optical stabilization, so the winning strategy is (1) lean on the stabilized Batis tele primes and “Sony | ZEISS” OSS zooms, and (2) pair everything else (Loxia, Milvus, Otus, ZM, CZ.2/LWZ.3) with a body that has strong IBIS or proper support; prioritize lenses with dependable OSS + accurate AF for stills/video, modest focus breathing if you film, linear-feel MF for controlled pulls, and consistent front diameters so one high-quality VND (and a mild ⅛–¼ diffusion if you like halation) covers the kit. Native full-frame stabilized primes: Batis 85mm ƒ1.8 (AF + OSS—wedding/event portrait staple with skin-friendly rendering) and Batis 135mm ƒ2.8 (AF + OSS—lightweight tele with elegant micro-contrast for stage, travel, and compressed cityscapes). Full-frame stabilized zooms (Sony | ZEISS co-branded): Vario-Tessar FE 16–35mm ƒ4 ZA OSS (filter-friendly UWA with honest color and disciplined geometry) and Vario-Tessar FE 24–70mm ƒ4 ZA OSS (compact mid-range with neutral Zeiss pop)—both pair OSS with IBIS for steady handhelds and clean 180°-shutter video. APS-C stabilized zoom: Vario-Tessar T* E 16–70mm ƒ4 ZA OSS (tiny “do-most” travel/doc lens with useful reach and clean rendering). Notes on the rest of the Zeiss universe: Loxia (manual), Milvus/Otus (manual SLR), ZM (rangefinder), Touit (APS-C primes), and cine lines (CP.3/CZ.2/LWZ.3) lack optical stabilization by design—use IBIS, monopods, gimbals, or shoulder rigs; A-mount Vario-Sonnar 16–35/2.8 and 24–70/2.8 are not optically stabilized—pair with SteadyShot INSIDE bodies or support. Practical buyer tips: build a stabilized spine around Batis 85/1.8 + Batis 135/2.8 for portrait/tele work and add one OSS zoom (16–35/4 or 24–70/4) to cover interiors and walk-and-talks; on APS-C grab the 16–70/4 OSS, then supplement with a fast prime (Batis 40/2 CF or a Loxia/Otus/Milvus if you’re comfortable with IBIS-only); standardize threads (67/72→77/82 mm) so one VND/diffusion fits all, test OSS + IBIS interaction on your body (some combos prefer one or the other), and keep an Arca plate + compact monopod for long days. Stabilized shooting tips: set sensible shutter floors—≈1/80–1/125 s for people with OSS+IBIS (go faster for action), use AF-C with Eye/Subject detect on Batis primes, work near wide open and stop 1/3–2/3 stop for eyelash-crisp results, and manage background distance (1–3 m) for clean bokeh; for video, lock a 180° shutter with a quality VND, let OSS+IBIS smooth handholds but disable stabilization on sticks to avoid micro-jitter, prefer wider focal lengths on the 16–35/4 OSS for steadier gimbal-less moves, and avoid stacking filters that invite flare; whether you’re covering ceremonies in dim halls, filming run-and-gun doc, shooting stage from the aisles, or traveling light, the best “Zeiss + stabilization” play is a hybrid: use the Batis 85/1.8 and 135/2.8 plus the OSS Vario-Tessars where stabilization matters, lean on IBIS/support for everything else, and you’ll keep files sharp, footage smooth, and your kit simple.