One cites several examples with different missions.
jrmichler has cited several materials considerations. Other considerations include: Melting point, particularly with respect to high stress areas, where the structure cannot exceed a stress limit at a certain homologous temperature; Fatigue resistance; Fracture toughness; Thermal expansion and Creep resistance.
In the Mig-25 example, the leading edges, which experience high temperature during supersonic flight, were Ti-alloy, but they were not critical load-bearing structures.
256bits cited the DeHaviland Mosquito, which was mostly wood.
Carbon composites are also finding limited applications in modern aircraft.
For NASA's Space Shuttle, the solid rocket booster (SRB) rockets are made of high strength maraging steel. The sole purpose of the SRBs are to lift the Shuttle's Main Propellant Tank, which contains the liquid H and O for the Shuttle's main engines. Once the Shuttle is high enough in the atmosphere, the SRBs detach.
https://ntrs.nasa.gov/citations/19740012287
Supersonic and hypersonic aircraft require different materials. The SR-71 and predecessors where made of Ti-alloy and some composite materials which had to withstand very high temperatures.
The XB-70 wings were largely of stainless steel, sandwiched honeycomb (composite) panels, and titanium.
https://www.nationalmuseum.af.mil/V...heets/Display/Article/195731/xb-70-honeycomb/
The X-15 aircraft used various Ni-based alloys, e.g., Inconels, since the structure experience very high temperatures. Note the limited range and launch from a carrier aircraft. Altitude and speed records were set in separate runs.
https://en.wikipedia.org/wiki/Inconel#Uses
https://en.wikipedia.org/wiki/7075_aluminium_alloy
Aluminum alloys are used for relatively low speed aircraft as well as some military aircraft, e.g., F16.
https://en.wikipedia.org/wiki/General_Dynamics_F-16_Fighting_Falcon#Overview
Aluminum alloys played a significant role in the Space Shuttle airframe. Weight was a significant consideration.
https://www.nasa.gov/centers/johnson/pdf/584733main_Wings-ch4g-pgs270-285.pdf
The Shuttle had a unique thermal protection system
https://www.azom.com/article.aspx?ArticleID=11443
Some early considerations on the Shuttle design -
https://history.nasa.gov/SP-4221/ch8.htm
Failure of the thermal protection system lead to loss of the Space Shuttle Columbia.
Today, Al-Li alloys play important roles in aircraft frames
https://en.wikipedia.org/wiki/Aluminium–lithium_alloy#Third-generation_alloys_(1990s–2010s)
http://www.icas.org/ICAS_ARCHIVE/ICAS2006/PAPERS/195.PDF
http://www.metallurgie.rwth-aachen.de/new/images/pages/publikationen/3_908451_26_4_5_id_5266.pdf
https://www.nasa.gov/centers/marshall/pdf/113020main_shuttle_lightweight.pdf
Composites play a more substantial role in more modern aircraft. Ti-alloys are used in various systems.
https://en.wikipedia.org/wiki/Lockheed_Martin_F-35_Lightning_II#Overview
https://www.businesswire.com/news/h...Lockheed-Martin-for-F-35-Joint-Strike-Fighter
There are more advanced Al alloys now available, but they are used for structures not subject to high temperature. They are also quite expensive.
https://aluminiuminsider.com/aluminium-scandium-alloys-future/
http://www.dunand.northwestern.edu/refs/files/JOM-0302-35.pdf
https://ntrs.nasa.gov/citations/20050158693