Dear Olutosin, there are many journals that meet these criteria. And they are highly valued. Search the journal indexed in ESCI (the new group) of Web of Science.
Most of the very high standard journal have no APC and are indexed by Scopus and others. Some examples include journals by Elsevier, Taylor and Francis, Springer to mention a few.
You can find a lot of OA journals without fees at this link https://doaj.org/search?source=%7B%22query%22%3A%7B%22filtered%22%3A%7B%22filter%22%3A%7B%22bool%22%3A%7B%22must%22%3A%5B%7B%22term%22%3A%7B%22_type%22%3A%22journal%22%7D%7D%2C%7B%22term%22%3A%7B%22index.has_apc.exact%22%3A%22No%22%7D%7D%5D%7D%7D%2C%22query%22%3A%7B%22match_ (if the link does not work, try the shortened URL http://bit.ly/1HQQZ2w ; note that you can further restrict the search to journals within your specialty) and then check whether they are in Scopus here scopus.com/sources and whether they are covered by ISI here mjl.clarivate.com
Note that many Springer journals also let you share your article via ReadCube so that it can be read by anyone (but cannot be downloaded if one has no valid subscription) who has a sufficiently modern browser to handle enhanced PDF; for example the published version of my recent article Integrable (3+1)-dimensional systems with rational Lax pairs can be read in this way here: http://rdcu.be/Dkwh .
This can be a reasonable substitute for open access (of course, if you are NOT officially required to publish open access by, say, your university or your grant agency), but again you should check this for each journal separately whether this feature is available for it; see also https://www.springernature.com/gp/researchers/sharedit for details.
Finally, even if the article is not published open access, many journals allow the authors to post a preprint version of their article on their personal web site or at a repository like arXiv.org but again you should check each journal specifically for that (and for the exact definition of what does this particular journal mean by a preprint). This is commonly known as self-archiving or green open access. Of course, this probably would NOT suffice if you are officially required to publish open access by, say, your university or your grant agency .