Here is a list of some elevator companies/manufacturers that had a technical partnership, cooperation or agreement with major elevator companies in the past. One of the main reasons for these partnerships is because they wanted to make or develop their elevators with the help of a major elevator company because they didn't have enough knowledge on how to make or develop their products. Because of this, most of their elevators were made under license from the major company that they worked with, sharing the same design, features, and other mechanical stuffs. Some elevators were actually rebranded of the original ones made by the major company.
Some of these companies are:
1. Mitsubishi (Japan) < > Westinghouse
Mitsubishi had a technical cooperation with Westinghouse USA, therefore a lot of old 1960s-1970s Mitsubishi elevators used Westinghouse's "monkey on a stick" floor selector and Selectomatic "dinner bell" chime. In addition, Mitsubishi's door tracks and white buttons were based on Westinghouse's design (the white buttons were based on Westinghouse's AE buttons)
2. Dong Yang (South Korea) < > Toshiba
Dong Yang had a technical partnership with Toshiba Japan to produce elevators under Toshiba's license from the late 1970s until 1999. Their elevators are basically rebranded Toshiba elevators in South Korea, bearing Toshiba's fixtures and model names (CV series). Dong Yang terminated its partnership with Toshiba in 1999 and continued on its own until it was sold to ThyssenKrupp in October 2003 and became ThyssenKrupp Dongyang until 2008.
3. GoldStar (South Korea) < > Hitachi and Mitsubishi
From the 1970s until 1990s, GoldStar (later LG) made elevators and escalators under partnership with Hitachi therefore the design of elevators look very identical to Hitachi. According to a South Korean elevator enthusiast, these elevators were made at their Juan factory in South Korea.
GoldStar also made elevators under partnership with Mitsubishi, and these elevators are essentially rebranded Mitsubishi elevators in South Korea. These elevators were made at their Changwon factory and were only sold domestically, unlike the Hitachi-licensed elevators where they were also imported overseas.
GoldStar changed name to Lucky Goldstar in the mid 1990s after Lucky Chemical merged with it. It continued to make elevators and escalators under the LG name to it was sold to OTIS in 1999.
4. Toshiba (Japan) < > KONE
In 1998, Toshiba partnered with KONE so that they could develop their own MRL elevators. These elevators are called SPACEL and are based on the KONE MonoSpace concept, featuring the KONE EcoDisc motor. However, the door equipment, fixtures and design are from Toshiba.
5. Elevadores Atlas (Brazil) < > Westinghouse
This Brazilian company had a long partnership with Westinghouse and sometimes both companies would exchange patents with each others. For example, Atlas would use Westinghouse's design and Westinghouse would use steels from Villares, Atlas's parent company (Atlas was in fact a subsidiary of the Villares steel group). Atlas's elevators were heavily based on Westinghouse. After Westinghouse was sold to Schindler in 1989, Atlas went on its own until it was acquired by Schindler in 1999 and became Atlas Schindler.
6. Orona (Spain) < > Sabiem
It is said that Orona first made its elevators under cooperation with Italian company Sabiem from the 1960s until the 1970s. Orona's earliest elevator design was based on Sabiem's design.
7. Express Lift (United Kingdom) < > Westinghouse
Westinghouse also had a technical partnership with Northampton-based Express Lift Co. Ltd., notably on the development of Express Lift's DMR programmed elevator control for high-rise buildings. The DMR control is in fact based on the Westinghouse Selectomatic system.
8. Elevadores Sūr (Brazil) < > Fujitec
Another Brazilian elevator company, but this one worked with Fujitec in 1973. Not exactly sure when the partership ended. Elevadores Sūr was sold to Thyssen in the late 1990s and became Thyssen Sur for a short period.
9. ZREMB (Poland) < > ASEA Graham
This Polish elevator company made elevators under license from ASEA Graham of Sweden, therefore their elevator design was based on ASEA Graham.
10. EPL (Australia) < > Express Lift
Elevators Pty. Ltd. (EPL) of Australia had a licensing agreement with Express Lift of Northampton, UK. In addition, EPL would sometimes distribute and install Express elevators in Australia but these elevators are usually unbranded (instead the Express name could only be seen in the machine room). EPL was acquired by KONE in 1986 and was popularly known (by many elevator enthusiasts) as EPL KONE.
11. Yungtay (Taiwan) < > Hitachi
This Taiwanese company started out in 1966 as a distributor of Hitachi elevators in Taiwan. Then sometime in the 1980s the company joined Hitachi to make elevators, first they installed Hitachi elevators under the Yungtay-Hitachi brand and later began making their own elevators but using Hitachi's technologies and fixtures. In 2018, it was reported that Hitachi was planning to acquire Yungtay.
12. Guangri (China) < > Hitachi
This Guangzhou-based company initially made elevators under Hitachi's technologies. Guangri was then formed in 1996 under joint investment with Hitachi.
There may be others which I missed or haven't discovered yet but so far these are some that I've managed to get while doing some elevator researches online.