You may not find free access to such databases if available, but there are research groups or labs that can provide you with scRNA seq datasets for any specific tissues.
In addition, I would like to draw your attention to The Human Protein Atlas program (initiated in 2003) with the aim to map all the human proteins in cells, tissues and organs using an integration of various omics technologies, including antibody-based imaging, mass spectrometry-based proteomics, transcriptomics and systems biology.
All the data in the knowledge resource is open access to allow scientists both in academia and industry to freely access the data for exploration of the human proteome.
The Human Protein Atlas consists of six separate parts, each focusing on a particular aspect of the genome-wide analysis of the human proteins:
The Tissue Atlas, showing the distribution of the proteins across all major tissues and organs in the human body
The Single Cell Type Atlas, showing expression of protein-coding genes in single human cell types
The Pathology Atlas, showing the impact of protein levels for the survival of patients with cancer
The Blood Atlas, describing proteins detected in the blood cell types and proteins secreted by human tissues
The Brain Atlas, exploring the distribution of proteins in various regions of the mammalian brain
The Cell Atlas, showing the subcellular localization of proteins in single cells
The Single Cell Type Atlas contains single cell RNA sequencing (scRNAseq) data from 13 different human tissues, together with in-house generated immunohistochemically stained tissue sections visualizing the corresponding spatial protein expression patterns.
Link to the Single Cell Type Atlas: https://www.proteinatlas.org/humanproteome/celltype
The scRNAseq analysis was based on publicly available genome-wide expression data and comprises all protein-coding genes in 192 individual cell type clusters corresponding to 12 different cell type groups.
A specificity and distribution classification was performed to determine the number of genes elevated in these single cell types, and the number of genes detected in one, several or all cell types, respectively.
The genes expressed in each of the cell types can be explored in interactive UMAP plots and bar charts, with links to corresponding immunohistochemical stainings in human tissues.
Hoping that this this website will be useful for your scRNAseq adult human brain data analyses.