Here are some filtering options to select which rockets to look at:
Filter by payload class: Light Medium Heavy Super-Heavy
Filter by crewed flight: Unmanned only Could happen Has done it
Filter by fuel type: Solid Hypergolic Cryogenic
Filter by usage frequency: Regular Rare
Filter by reusability: Expendable Reusable (or planning to be)
Filter by commercialization: Govt (exclusive) Govt (commercialized) Private
Filter by country: USA Russia China Europe other
— Rockets included with current filters: · R7/Soyuz · Atlas · Delta · Proton · Long March (old) · | · Ariane · Zenit (Irtysh, Yenisei) · H · Shavit · Pegasus · PSLV, GSLV · START · Minotaur · Rokot · | · Falcon · Safir, Unha, and successors · Vega · KSLV/Naro/Nuri · Antares · Epsilon · Chinese solids · Angara (Amur) · LVM · Long March (new) · | · Electron · Alpha · SSLV · SLS · LandSpace · Terran · Tianlong · Starship · Vulcan · Kairos · | · Vector · Phantom Express · OmegA · LauncherOne · Astra · Skylon · RS1 · Bloostar · Haas · Neptune · | · New Glenn · RFA · Neutron · Eris · Spectrum · Nova · Dawn · Prime · Nebula · New Line · Miura · Blue Whale · Hapith —
— Spacecraft and stations included with current filters: · Soyuz · Shenzhou · Dragon · CST-100 Starliner · Orion · Dream Chaser · Mengzhou · Gaganyaan · Starship · Orel · cargo carriers · | · ISS · Tiangong · LOP-G · Axiom Station — (Note that only the last two filters, commercialization and country, apply to this group.)