grep will print the entire line where it matches the pattern. To print only the pattern matched, use the grep -o option. You'll probably also need to use sed to remove the name= part of the pattern.
grep -o 'name=[0-9a-zA-Z ]' myfile | sed /^name=/d
As detailed here, you want a positive lookbehind clause, such as:
grep -P '(?<=name=)[ A-Za-z0-9]*' filename
The -P makes grep use the Perl dialect, otherwise you'd probably need to escape the parentheses. You can also, as noted elsewhere, append the -o parameter to print out only what is matched. The part in brackets specifies that you want alphanumerics and spaces.
The advantage of using a positive lookbehind clause is that the "name=" text is not part of the match. If grep highlights matched text, it will only highlight the alphanumeric (and spaces) part. The -o parameter will also not display the "name=" part. And, if you transition this to another program like sed that might capture the text and do something with it, you won't be capturing the "name=" part, although you can also do that by using capturing parenthess.
It tells sed to print nothing (-n) by default, substitute your prefix with nothing, and print if the substitution occurs.
Bonus: if you really need it to only match entries with only spaces and alphanumerics, you can do that too:
sed -n 's/^name=\([ 0-9a-zA-Z]*$\)/\1/p' filename
Here we've added a pattern to match spaces and alphanumerics only until the end of the line ($), and if we match we substitute the group in parentheses and print.