Boris continued his work at the I.I. Nivinsky Experimental Studio and in 1972 he held his first solo exhibition of over 100 drawings.

Around this time he created a series of brush drawings on coated paper. These years marked the development of his inimitable style, which featured metaphysical still life and landscapes, portraits of family and friends, and genre scenes. One of his key themes was the theater

The artist also took part in regional and all-Union exhibitions, showcasing his graphic series like “Pushkin” and “My Contemporaries”.

The Central House of Artists hosted the “Exhibition of Works by Twenty-Three Moscow Artists” in 1981, which was the first official show of the “left-wing MOSKh”. The State Tretyakov Gallery acquired 15 of Kocheishvili’s graphic works.

In 1986, Kocheishvili’s art went global when American gallerist Phyllis Kind showcased his pieces at the Chicago International Art Fair, where all twelve of his black-and-white works were sold. That led to the exhibition “Straight from Moscow” at the Phyllis Kind Gallery in New York, participation in the FIAC exhibition in France, and a solo exhibition in Brussels. During this time, Boris Kocheishvili was more involved in the theater and film circles, thanks to his marriage to the famous soviet actress Lia Akhedzhakova. Another outcome of this union was the integration of the theater stage into his artwork. His dacha in Peredelkino became a gathering place for actors and writers, where Boris created portraits of cultural figures like Lia Akhedzhakova, Inna Churikova, and Fazil Iskander.

By the late 1980s, he had shifted to working with color, using watercolors, pastels, and oils, and delving into sculpture and relief art. His love for sculpture was influenced by his friendship with Adelaide Pologova, leading him to develop his unique style of low-relief sculpture art. Boris Kocheishvili is the only Russian artist who consistently uses the technique of colored relief. Kocheishvili's sculpture is expressed in two forms: monochrome and colored reliefs, as well as collages on paper and canvas that depict domestic wooden sculptures from the 18th century to the present day.

Boris Kocheishvili had his first gallery exhibition in Moscow at the Mikhail Krokin’s Segodnya Gallery in 1991. However, just as his success was growing, he surprised everyone by leaving Moscow, moving to a remote village, and building a new life with his partner and a dog. During this time, he began writing poetry, publishing his first collection in 1992. His poetry, with its minimalism and clear imagery, is said to hold the key to understanding his artistic language.

Kocheishvili returned to Moscow a few years later and continued experimenting with new techniques, including pastels on corrugated cardboard, plaster reliefs, and his "black and gold" series, which consisted of small, often picturesque works that blended the rugged texture of the hardboard’s underside with the refined, almost mystical glow of gold paint against a black background. He also created the series “Names”, where text and images flow into each other.

His exhibition history in the late 1990s was quieter. Works by Kocheishvili were presented at a group exhibition at the Central House of Artists in 1995, he also participated in the “Moscow Artists Visiting Chagall” project at the Marc Chagall Museum in Vitebsk. In 1999, Mikhail Krokin showed Kocheishvili's works at his gallery “New Collection”.

In the 2000s, Kocheishvili regularly participated in poetry readings and exhibitions. His poems were published in various collections, including the Anthology of Russian Poetry (“Russian Poems 1950-2000. Anthology”. Summer Garden. Moscow, 2010). His drawings of poets like Prigov, Sapgir, Kholin, and Rubinstein were shown at the State Literary Museum. He continued to exhibit his works in Moscow and internationally, including the Art-Brussels fair in 2000 (presented by the Krokin Gallery) and the II International Novosibirsk Biennale of Graphic Arts in 2001. The artist's solo exhibitions were held at the Zverev CSI almost every year and at other venues in Moscow: the House of Cinema (2006), the New Manège (2007), the State Institute of Art History (2007), and Tallinn (2007).

Throughout this decade, Boris worked across many forms – graphics, painting, pastels on corrugated cardboard, sculptural relief, poetry, and music – all flowing into each other, creating a rich, multifaceted expression.

Kocheishvili’s work was celebrated at the State Russian Museum in St. Petersburg with his exhibition "Simple Summer" in 2013. His poetry was also featured in this exhibition, hanging on translucent scrolls throughout the museum halls. In 2017, he had another solo exhibition at the Museum of Modern Art in Tbilisi.

In the 2020s, two major retrospective exhibitions marked Boris Kocheishvili's career: "Me and Them" at the State Tretyakov Gallery and a parallel project, “Me and Them. Three Sisters” at the Moscow Art Theater Museum.

These exhibitions showcase the depth and breadth of his life’s work, allowing a fresh perspective on his art within the context of his life through modern multimedia technology. Boris Kocheishvili continues to work in his studio in Moscow, where his art remains in a dialogue with Russian cultural tradition, drawing inspiration from figures like Andrei Rublev, Anton Chekhov, and Petrov-Vodkin. His work continues to resonate with audiences from all walks of life.