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Perl, 58 bytes

57 bytes code + 1 for -p.

Requires first item on one line, then the replacements on the next. Big thanks to @Dada who came up with a different approach to help reduce by 4 bytes!

$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee 

Usage

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee' <<< 'Football -o -a +a +i' Fiitbill 

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee' <<< 'mississippi -is -i +iz +p' mpzspzspppp 

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee' <<< 'mississippi -ippi -i -mess +ee +e +tenn' tennessee 

Perl, 58 bytes

57 bytes code + 1 for -p.

Requires first item on one line, then the replacements on the next. Big thanks to @Dada who came up with a different approach to help reduce by 4 bytes!

$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee 

Usage

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee' <<< 'Football -o -a +a +i' Fiitbill 

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee' <<< 'mississippi -is -i +iz +p' mpzspzspppp 

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee' <<< 'mississippi -ippi -i -mess +ee +e +tenn' tennessee 

Perl, 55 bytes

54 bytes code + 1 for -p.

Requires first item on one line, then the replacements on the next. Big thanks to @Dada who came up with a different approach to help reduce by 4 bytes!

$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;$2"%ee 

Usage

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;$2"%ee' <<< 'Football -o -a +a +i' Fiitbill 

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;$2"%ee' <<< 'mississippi -is -i +iz +p' mpzspzspppp 

Perl, 58 bytes

57 bytes code + 1 for -p.

Requires first item on one line, then the replacements on the next. Big thanks to @Dada who came up with a different approach to help reduce by 4 bytes!

$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee 

Usage

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee' <<< 'Football -o -a +a +i' Fiitbill 

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee' <<< 'mississippi -is -i +iz +p' mpzspzspppp 

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;q{$2}"%ee' <<< 'mississippi -ippi -i -mess +ee +e +tenn' tennessee 

Perl, 59 bytes

58 bytes code + 1 for -p.

Requires items to be separated by newlines.

@a=map/.(.+)/g,<>;for$i(0..@a/2-1){s!$a[$i]!$a[$i+@a/2]!g} 

Usage

perl -pe '@a=map/.(.+)/g,<>;for$i(0..@a/2-1){s!$a[$i]!$a[$i+@a/2]!g}' <<< 'Football -o  -a  +a  +i' Fiitbill 

perl -pe '@a=map/.(.+)/g,<>;for$i(0..@a/2-1){s!$a[$i]!$a[$i+@a/2]!g}' <<< 'mississippi -is  -i  +iz  +p' mpzspzspppp 

Perl, 55 bytes

54 bytes code + 1 for -p.

Requires first item on one line, then the replacements on the next. Big thanks to @Dada who came up with a different approach to help reduce by 4 bytes!

$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;$2"%ee 

Usage

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;$2"%ee' <<< 'Football -o -a +a +i' Fiitbill 

perl -pe '$a=<>;1while$a=~s%-(\S*)(.*?)\+(\S*)%"s/$1/$3/g;$2"%ee' <<< 'mississippi -is -i +iz +p' mpzspzspppp